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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.
  • Poppy Poppy's Steadfast Presence.png Steadfast Presence passively grants magic resistance to herself equal to 12% of her total magic resistance, increased to 24% of her total magic resistance while below 40% maximum health.
  • 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

Item Cost Amount Notes
Abyssal Scepter item.png Abyssal Scepter2750 Gold60
Aegis of the Legion item.png Aegis of the Legion1500 Gold20
Athene&#039;s Unholy Grail item.png Athene's Unholy Grail2250 Gold25
Banner of Command item.png Banner of Command2900 Gold20
Banshee&#039;s Veil item.png Banshee's Veil2450 Gold70
Chalice of Harmony item.png Chalice of Harmony900 Gold25
Dervish Blade item.png Dervish Blade2700 Gold45
Guardian Angel item.png Guardian Angel2400 Gold45
Hexdrinker item.png Hexdrinker1300 Gold35
Locket of the Iron Solari item.png Locket of the Iron Solari2500 Gold20
Maw of Malmortius item.png Maw of Malmortius3250 Gold40
Mercurial Scimitar item.png Mercurial Scimitar3600 Gold35
Mercury&#039;s Treads item.png Mercury's Treads1100 Gold25
Mikael&#039;s Crucible item.png Mikael's Crucible2300 Gold35
Moonflair Spellblade item.png Moonflair Spellblade2500 Gold50
Negatron Cloak item.png Negatron Cloak720 Gold40
Null-Magic Mantle item.png Null-Magic Mantle450 Gold25
Odyn&#039;s Veil item.png Odyn's Veil2450 Gold50
Orb of Winter item.png Orb of Winter2010 Gold70
Puppeteer item.png Puppeteer2200 Gold25Black Market Brawlers
Quicksilver Sash item.png Quicksilver Sash1300 Gold30
Spectre&#039;s Cowl item.png Spectre's Cowl1200 Gold30
Spirit Visage item.png Spirit Visage2800 Gold55
Staff of Flowing Water item.png Staff of Flowing Water1635 Gold25Black Market Brawlers
Wit&#039;s End item.png Wit's End2800 Gold40
Zz&#039;Rot Portal item.png Zz'Rot Portal2700 Gold55

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.
  • 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

N/A

0.58

1 IP

0.74

205 IP

Glyph

GGlyphs (3)

0.74

N/A

1.04

1 IP

1.34

205 IP

Quintessence

GQuintessences (1)

2.22

N/A

3.11

1 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 28/05/2016 on patch 6.10)

  • One of the biggest amount of armor any champion can obtain is 1042.53101184 (which reduces magical damage by 91.248%), being a level 18 Poppy Poppy.
  • Having an enemy Trundle Trundle with the same setup use Subjugate.png Subjugate on Poppy Poppy will yield a total of 1278.6138409728 magic resistance, which reduces magical damage by 92.746%.
  • Poppy Poppy's magic resistance = 1042.53101184 magic resistance
  • Trundle Trundle's magic resistance:
  • Base stats: +53.4 magic resistance

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 Poppy Poppy will have approximately 2042.53101184 magic resist. Trundle Trundle cannot exceed this. This reduces magical damage by 95.333%.


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