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Magic resistance

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Magic resistance (or MR) is a stat that all units have, including minions, monsters, and buildings. Increasing magic resistance reduces the magic damage the unit takes. Each champion begins with some magic resistance which may increase with level. You can gain additional magic resistance from abilities, items, masteries, and runes. Magic resistance stacks additively.

All champions begin with 30 or 32.1 base magic resistance. Currently no ranged champion gains magic resistance per level, but most melee champions do except Kassadin Kassadin and Yasuo Yasuo.

Elise Elise, Gnar Gnar, Jayce Jayce, Kayle Kayle and Nidalee Nidalee do not gain magic resistance per level because they are not always melee champions due to their variable attack range.

All champions that do gain magic resistance per level gain 1.25 magic resistance per level, reaching 53.4 base magic resistance at level 18.

Damage reduction

Magic Resistance reduces the damage of incoming magical attacks by a percentage. This percentage is determined by the formula: Damage Reduction = Total Magic Resistance / (100 + Total Magic Resistance). For example, a champion with 150 points of magic resistance would receive 60% reduced damage from magical attacks. Incoming magic damage is multiplied by a factor based on the unit's magic resistance(same with armor):

$${\rm Damage\ multiplier}=\begin{cases} {100 \over 100+{\it MR}}, & {\rm if\ }{\it MR} \geq 0\\ 2 - {100 \over 100 - {\it MR}}, & {\rm otherwise} \end{cases}$$

Examples:

  • 25 magic resistance → × 0.8 incoming magic damage (20% reduction).
  • 100 magic resistance → × 0.5 incoming magic damage (50% reduction).
  • −25 magic resistance → × 1.2 incoming magic damage (20% increase).

Stacking magic resistance

Every point of magic resistance requires a unit to take 1% more of its maximum health in magic damage to be killed. This is called "effective health."

Example: A unit with 60 magic resistance has 160% of its maximum health in its effective health, so if the unit has 1000 maximum health, it will take 1600 magic damage to kill it.

What this means: by definition, magic resistance does not have diminishing returns, because each point increases the unit's effective health against magic damage by 1% of its current actual health value whether the unit has 10 magic resistance or 1000 magic resistance.

For a more detailed explanation, see this video.

Unlike health, increasing magic resistance makes healings and shields more effective because it requires more raw damage from your enemies to remove the bonus health granted. This is called indirect scaling.

Optimal efficiency (theoretical)

Note: 'Effective Health' describes the amount of raw damage a champion can receive before dying. It will always be more than or equal to a champion's displayed Health in their Health bar and it can be increased by buying items with extra Health, Armor and Magic Resist. In this article, Effective Health will refer to the amount of raw 'Magic Damage' a champion can take.

In almost all circumstances, champions will have a lot more Health than Magic Resistance such that the following inequality will be true: Champion-Health > (Champion-MR + 100).

If this inequality is true, a single point of MR will give more 'Effective Health' to that champion than a single point of Health.

If (Health < MR + 100), 1 point of Health will give more Effective Health than 1 of MR.

If (Health = MR + 100), 1 point of Health will give exactly the same amount of Effective Health as 1 point of MR.

Because of this relationship, theoretically, the way to get the maximum amount of Effective Health from a finite combination of Health and MR is to ensure that you have exactly 100 more Health than MR (this is true regardless of how much Health and MR you actually have).

Example: Given a theoretical situation where you start off with 0 Health and 0 MR and are given an arbitrary number of stat points (x > 100) each of which you can either use to increase your Health or MR by 1 point, the way to maximize your Effective Health is to add points to your health until your Health = (MR + 100) = (0 + 100) = 100, and then split the remaining stat points in half, spend half on your Health and half on your MR.

It's important to note that this information is purely theoretical and due to limitations from the game from champions' base stats and item stats it is incredibly difficult to acquire enough MR to satisfy the conditions given above (to the point where players shouldn't attempt to if they are trying to actually win games).

Instead, broadly speaking, items which provide both Health and MR give a very high amount of Effective Health against Magic Damage compared to items which only provide Health or only provide MR. These items should be purchased when a player is seeking efficient ways to reduce the magic damage they take by a large amount.

Magic Resistance as Scaling

These use the champion's magic resistance to increase the magnitude of the ability. It could involve total or bonus magic resistance. By building magic resistance items, you can receive more benefit and power from these abilities.

Champions

  • Braum Braum's Stand Behind Me.png Stand Behind Me grants magic resistance equal to 10 / 11.5 / 13 / 14.5 / 16% of his bonus magic resistance to himself and the target ally (in addition to a base amount) for 3 seconds.
  • Galio Galio's Runic Skin.png Runic Skin grants him bonus ability power equal to 50% of his total magic resistance.
  • Leona Leona's Eclipse.png Eclipse grants additional magic resist equal to 20 / 30 / 40 / 50 / 60 + (20% of her bonus magic resistance) for its duration.
  • Trundle Trundle's Subjugate.png Subjugate takes 40% of the target's magic resistance and gains an equal amount of magic resistance. Half of this magic resistance is stolen on cast, and the next half is taken over 4 seconds. The magic resistance bonus/reduction lasts for another 4 seconds after the drain completes.

Increasing magic resistance

Items

  • Abyssal Scepter item.png Abyssal Scepter: +50 magic resistance

    , +70 ability power. Unique Aura: Reduces the magic resistance of nearby enemies by 20.
    2350Gold
    .
  • Aegis of the Legion item.png Aegis of the Legion: +20 magic resistance. Unique Aura – Legion: Grants nearby allies +10 magic resistance (1100 range)

    . +200 health, +100% base health regen.
    1500Gold
    .
  • Athene&#039;s Unholy Grail item.png Athene's Unholy Grail: +25 magic resistance

    , +60 ability power, +100% base mana regeneration, +20% cooldown reduction. Unique Passive: Restores 30% of your maximum mana on kill or assist. Unique Passive – Mana Font: Restores 2% of missing mana every 5 seconds.
    2800Gold
    .
  • Banner of Command item.png Banner of Command: +20 magic resistance. Unique Aura – Legion: Grants nearby allies +15 magic resistance (1100 range)

    . +200 health, +100% base health regen, +60 ability power, +10% cooldown reduction. Unique Active – Promote: Greatly increases the power of a lane minion and grants it immunity to magic damage (120 second cooldown) (1200 range).
    2900Gold
    .
  • Chalice of Harmony item.png Chalice of Harmony: +25 magic resistance

    , +50% base mana regeneration. Unique Passive – Mana Font: Restores 2% of missing mana every 5 seconds.
    1000Gold
    .
  • Hexdrinker item.png Hexdrinker: +35 magic resistance

    , +20 attack damage. Unique Passive – Lifeline: Upon taking magic damage that would reduce health below 30%, grants a shield that absorbs 110 – 280 magic damage for 5 seconds (90 second cooldown).
    1300Gold
    .
  • Locket of the Iron Solari item.png Locket of the Iron Solari: +20 magic resistance. Unique Aura – Legion: Grants nearby allies +15 magic resistance (1100 range)

    . +400 health, +100% base health regen, +10% cooldown reduction. Unique Active: Shield yourself and nearby allies for 5 seconds, absorbing up to 75 + (15 × level) damage (60 second cooldown).
    2500Gold
    .
  • Maw of Malmortius item.png Maw of Malmortius: +40 magic resistance

    , +55 attack damage, +10 armor penetration. Unique Passive – Lifeline: Upon taking magic damage that would reduce health below 30%, grants a shield that absorbs 300 + (100% bonus MR) magic damage for 5 seconds (90 second cooldown). Unique Passive – Lifegrip: When Lifeline triggers, gain +10% spell vamp, and +10% life steal until out of combat.
    3250Gold
    .
  • Mercury&#039;s Treads item.png Mercury's Treads: +25 magic resistance

    . Unique Passive – Enhanced Movement: +45 movement speed. Unique Passive - Tenacity: Reduces the duration of stuns, slows, taunts, fears, silences, blinds and immobilizes by 20%.
    1100Gold
    .
  • Mikael&#039;s Crucible item.png Mikael's Crucible: +35 magic resistance

    , +100% base mana regeneration, +10% cooldown reduction. Unique Passive – Mana Font: Restores 2% of missing mana every 5 seconds. Unique Active: Removes all stuns, roots, taunts, fears, silences and slows on an allied champion and heals that champion for 150 + (10% of the target's maximum health) (180 second cooldown).
    2300Gold
    .
  • Quicksilver Sash item.png Quicksilver Sash: +30 magic resistance

    . Unique Active – Quicksilver: Removes all debuffs from your champion (90 second cooldown).
    1300Gold
    .
  • Spectre&#039;s Cowl item.png Spectre's Cowl: +35 magic resistance

    , +200 health. Unique Passive: Grants 150% base health regen for up to 10 seconds after taking damage from an enemy champion.
    1100Gold
    .
  • Wit&#039;s End item.png Wit's End: +40 magic resistance. Unique Passive: Your basic attacks steal 5 magic resistance of the target for 5 seconds (stacks up to 5 times)

    . +40% attack speed. Unique Passive: Your basic attacks deal 40 bonus magic damage.
    2800Gold
    .


Variable Availability

  • STH Banshee&#039;s Veil item.png Banshee's Veil: +70 magic resistance

    , +500 health, +100% base health regeneration. Unique Passive: Grants a spell shield that blocks the next enemy ability. This shield refreshes after no damage is taken from enemy champions for 40 seconds.
    2900Gold
    .
  • TC Dervish Blade item.png Dervish Blade: +45 magic resistance

    , +50% attack speed, +10% cooldown reduction. Unique Active – Quicksilver: Removes all debuffs from your champion. Melee champions also gain +50% movement speed for 1 second (90 second cooldown).
    2700Gold
    .
  • SC Guardian Angel item.png Guardian Angel: +60 magic resistance

    , +60 armor. Unique Passive: Upon taking lethal damage, restores 30% of maximum health and 30% of maximum mana after 4 seconds of stasis (5 minute cooldown).
    2900Gold
    .
  • H Guardian&#039;s Horn item.png Guardian's Horn: Unique Active – Battle Cry: Gain 20 magic resistance, 30% movement speed and 20 armor for 3 seconds (25 second cooldown)

    . Unique Passive: Nearby enemy spellcasts reduce the cooldown of Battle Cry by 1 second. +200 health, +125% base health regeneration.
    1000Gold
    .
  • SH Mercurial Scimitar item.png Mercurial Scimitar: +35 magic resistance

    , +70 attack damage, +10% life steal. Unique Active – Quicksilver: Removes all debuffs and also grants 50% bonus movement speed for 1 second (90 second cooldown).
    3700Gold
    .
  • TC Moonflair Spellblade item.png Moonflair Spellblade: +50 magic resistance

    , +50 ability power, +50 armor. Unique Passive – Tenacity: Reduces the duration of stuns, slows, taunts, fears, silences, blinds, polymorphs, and immobilizes by 35%.
    2500Gold
    .
  • C Odyn&#039;s Veil item.png Odyn's Veil: +50 magic resistance

    , +350 health, +350 mana. Unique Passive: Reduces and stores 10% of magic damage received. Unique Active: Deals 200 + (stored magic damage – max 200) magic damage to nearby enemy units (90 second cooldown) (525 range).
    2400Gold
    .
  • H Orb of Winter item.png Orb of Winter: +70 magic resistance

    , +100% base health regeneration. Unique Passive: Grants a shield that absorbs up to 30 + (10 × level) damage. The shield will refresh after 9 seconds without receiving damage.
    2010Gold
    .
  • S Zz&#039;Rot Portal item.png Zz'Rot Portal: +60 magic resistance

    , +60 armor, +150% base health regen. Unique Passive – Point Runner: Build up to +20% movement speed over 2 second while near turrets, fallen turrets and Void Gates. Unique Active: Spawns a Void Gate at target location for 150 seconds. Every 4 seconds the gate makes a Voidspawn Voidspawn that travels down the nearest lane and decays over time. Voidspawn explodes when attacking structures. Voidspawn Voidspawn ignore champions and void targets (150 second cooldown). The first and every fourth voidspawn gain 15% of maximum health as damage (150 second cooldown).
    2700Gold
    .


Champion abilities

Note: Only the magic resist buff effect of these abilities is shown here, to read more information on each of these abilities, follow the link on each of them.

  • Anivia Anivia's Rebirth.png Rebirth allows her to enter an egg-state for up to 6 seconds upon taking lethal damage. While in this state, she will receive a magic resistance modifier of −40 / −25 / −10 / +5 / +20.
  • Annie Annie's Molten Shield.png Molten Shield increases her magic resistance by 10 / 20 / 30 / 40 / 50 for 5 seconds.
  • Braum Braum's Stand Behind Me.png Stand Behind Me increases magic resistance by 15 / 17.5 / 20 / 22.5 / 25 + (10 / 11.5 / 13 / 14.5 / 16% bonus magic resistance) to himself and the target ally for 3 seconds.
  • Galio Galio's Bulwark.png Bulwark increases an allied champion's magic resistance by 30 / 45 / 60 / 75 / 90 for 4 seconds.
  • Gnar Gnar's Rage Gene.png Rage Gene increases his magic resistance by (2 × Gnar's level) when transformed into Mega Gnar Mega Gnar.
  • Garen Garen's Courage.png Courage permanently gains 0.25 bonus magic resistance every time he kills an enemy, up to a maximum of 30.
  • Graves Graves's Quickdraw.png Quickdraw increases his magic resistance by 10 / 15 / 20 / 25 / 30 for 4 seconds stacking up to 4 times when shooting pellet, up to 40 / 60 / 80 / 100 / 120 bonus magic resistance.
  • Jax Jax's Grandmaster&#039;s Might.png Grandmaster's Might increases his magic resistance by 30 / 50 / 70 + (20% AP) for 8 seconds.
  • Kennen Kennen's Lightning Rush.png Lightning Rush increases his magic resistance by 10 / 20 / 30 / 40 / 50 for 4 seconds.
  • Jayce Jayce's Transform- Mercury Hammer.png Transform: Mercury Hammer increases his magic resistance by 5 / 15 / 25 / 35.
  • Leona Leona's Eclipse.png Eclipse increases her magic resistance by 20 / 30 / 40 / 50 / 60 + (20% bonus magic resistance) for 3 seconds, deals damage after that time to units around her, and retains the defensive buff for an additional 3 seconds if any enemy is struck by the blast.
  • Olaf Olaf's Ragnarok.png Ragnarok passively increases his magic resistance by 20 / 30 / 40. He loses the passive while his ability is active.
  • Orianna Orianna's Command- Protect.png Command: Protect increases an allied champion's magic resistance by 10 / 15 / 20 / 25 / 30 as long as the ball is attached to it.
  • Poppy Poppy's Steadfast Presence.png Steadfast Presence increases her magic resistance by 12% doubled to 24% while below 40% of her max. health.
  • Rammus Rammus's Defensive Ball Curl.png Defensive Ball Curl increases his magic resistance by 40 / 60 / 80 / 100 / 120 for 6 seconds.
  • Rengar Rengar's Battle Roar.png Battle Roar lets out a battle roar, damaging enemies increases his magic resist by 10 / 15 / 20 / 25 / 30 for each enemy champion or large monster hit for 4 seconds.
  • Shyvana Shyvana's Dragonborn.png Dragonborn passively increases her magic resistance by 5 / 10 / 15 / 20. This bonus is doubled while she is in dragon form (20 / 30 / 40).
  • Singed Singed's Insanity Potion.png Insanity Potion increases his magic resistance by 35 / 50 / 80 for 25 seconds.
  • Trundle Trundle's Subjugate.png Subjugate immediately steals 20% of the target's magic resistance, and a further 20% over 4 seconds. These magic resistance bonuses lasts for another 4 seconds after the drain completes.
  • Urgot Urgot's Hyper-Kinetic Position Reverser.png Hyper-Kinetic Position Reverser increases his magic resistance by 60 / 90 / 120 for 5 seconds.
  • Wukong Wukong's Stone Skin.png Stone Skin grants him 4 / 6 / 8 magic resistance for each visible nearby enemy champion.
  • Xin Zhao Xin Zhao's Crescent Sweep.png Crescent Sweep increases his magic resistance by 15 / 20 / 25 for each enemy champion hit for 8 seconds.

Masteries

  • Unyielding mastery s4.png Unyielding increases bonus magic resistance and bonus armor by 1 / 2 / 3 / 4 / 5%.
  • Legendary Guardian mastery s4.png Legendary Guardian grants 0.6 / 1.2 / 1.8 / 2.4 / 3 magic resistance and armor for each nearby enemy champion.

Runes

Name Type Tier 1 (Lesser) Tier 2 (Normal) Tier 3 (Greater)
Magic Resist Mark

GMarks (2)

X X 0.77

205 IP

Seal

GSeals (3)

0.41

5 IP

0.58

35 IP

0.74

205 IP

Glyph

GGlyphs (3)

0.74

5 IP

1.04

35 IP

1.34

205 IP

Quintessence

GQuintessences (1)

2.22

15 IP

3.11

100 IP

4

1025 IP

Magic Resist, Scaling

(Magic Resist per level)

Mark

GMarks (4)

X X 0.07 per level (1.26)

205 IP

Seal

GSeals (2)

X X 0.1 per level (1.8)

410 IP

Glyph

GGlyphs (4)

X X 0.16 per level (2.88)

205 IP

Quintessence

GQuintessences (4)

X X 0.37 per level (6.66)

1025 IP


Other

  • Disconnecting gives approximately +1000 magic resistance after a delay.

Ways to reduce magic resistance

See magic penetration. Note that magic penetration and magic resistance reduction are different.

List of champions' magic resistance


  • 65 champions start with 32.1 base magic resistance at level one, and at 53.4 base magic resistance at level 18. These champion are all melee champions, without exception.

Trivia

[Last updated 05/01/2015 on patch 5.24]

  • One of the biggest amount of magic resistance any champion can obtain is 978.846816 (which reduces magical damage by 90.731%), being a level 18 Xin Zhao Xin Zhao.

Xin Zhao Xin Zhao must:

Relevant mathematics:
Braum Braum Bonus Magic Resist (before Stand Behind Me.png Stand Behind Me) = (70 × 6 + 15 + 5 × 3 + 1.26 × 9 + 1.8 × 9 + 2.88 × 9 + 6.66 × 3) × 1.05 = 549.612
Xin Zhao Xin Zhao Magic Resist = ((70 × 6 + 15 + 5 × 3 + 90 + 30 + (25 + 549.612 × 0.16) + 1.26 × 9 + 1.8 × 9 + 2.88 × 9 + 6.66 × 3 + 5 × 25) × 1.05) + 53.4 = 978.846816

Having an enemy Trundle Trundle with the same setup use Subjugate.png Subjugate on Xin Zhao Xin Zhao will yield a total of 1227.212479 magic resistance. This may be the highest possible finite amount of magic resistance (without using metagame effects—see below), and reduces magic damage by 92.465%.

Relevant mathematics:

Xin Zhao Xin Zhao Magic Resist = 978.846816
Trundle Trundle Magic Resist = ((70 × 6 + 15 + 5 × 3 + 90 + 30 + (25 + 549.612 × 0.16) + 1.26 × 9 + 1.8 × 9 + 2.88 × 9 + 6.66 × 3 + (978.846816 × 0.4)) × 1.05) + 53.4 = 1227.212479

It is still possible to go higher through metagame functions. If a summoner disconnects from the server and is in the fountain, his/her champion will gain 1000 magic resistance. With the same setup as above, a disconnected Xin Zhao Xin Zhao will have approximately 1978.846816 magic resist. Trundle Trundle cannot exceed this. This reduces magical damage by 95.19%.


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