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Attack damage

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Attack Damage (AD) is the amount of damage dealt by a basic attacks excluding the applicable damage modifiers.

Attack damage is the sum of two components: Base AD and Bonus AD.

The damage dealt by some abilities is proportional to either bonus AD or total AD. That proportionality ranges between 0 and 12. The effect of some items is proportional to base AD.

This statistic stacks additively. Percentile attack damage bonuses are applied after adding up the AD granted from all additive sources.

The theoretical gold value of Attack Damage is Gold 35 per unit. B. F. Sword item.png B. F. Sword is the most efficient AD core item, with a gold/AD ratio of Gold 32.5. The costs of these stats are always offset by increased final costs of their upgraded items.

Bonuses

This section lists the game elements which provide Bonus AD.

Items

Item Cost Amount Availability
B. F. Sword item.png B. F. Sword1300 Gold 40Common
Bilgewater Cutlass item.png Bilgewater Cutlass1500 Gold 25Common
Blade of the Ruined King item.png Blade of the Ruined King3300 Gold 40Common
Caulfield's Warhammer item.png Caulfield's Warhammer1100 Gold 25Common
Cull item.png Cull450 Gold 7Classic
Death's Dance item.png Death's Dance3500 Gold 75Common
Doran's Blade item.png Doran's Blade450 Gold 8Classic
Duskblade of Draktharr item.png Duskblade of Draktharr3250 Gold 65Common
Edge of Night item.png Edge of Night3100 Gold 55Common
Guardian's Hammer item.png Guardian's Hammer950 Gold 15Howling Abyss
Essence Reaver item.png Essence Reaver3600 Gold 70Common
Executioner's Calling item.png Executioner's Calling800 Gold 15Common
Frozen Mallet item.png Frozen Mallet3100 Gold 30Common
Giant Slayer item.png Giant Slayer1000 Gold 10Common
Guinsoo's Rageblade item.png Guinsoo's Rageblade3600 Gold 35Common
Hexdrinker item.png Hexdrinker1300 Gold 20Common
Hextech Gunblade item.png Hextech Gunblade3400 Gold 40Common
Infinity Edge item.png Infinity Edge3600 Gold 70Common
Jaurim's Fist item.png Jaurim's Fist1200 Gold 15Common
Last Whisper item.png Last Whisper1300 Gold 10Common
Long Sword item.png Long Sword350 Gold 10Common
Lord Dominik's Regards item.png Lord Dominik's Regards2700 Gold 50Common
Lord Van Damm's Pillager item.png Lord Van Damm's Pillager3000 Gold 50Twisted Treeline
Manamune item.png Manamune2400 Gold 25Common
Manamune (Crystal Scar) item.png Manamune (Quick Charge)2400 Gold 25Crystal Scar
Featured Game Modes
Maw of Malmortius item.png Maw of Malmortius3250 Gold 50Common
Mercurial Scimitar item.png Mercurial Scimitar3600 Gold 65Common
Mortal Reminder item.png Mortal Reminder2700 Gold 50Common
Muramana item.png Muramana0 Gold 25Common
Muramana item.png Muramana (Quick Charge)0 Gold 25Crystal Scar
Featured Game Modes
Phage item.png Phage1250 Gold 15Common
Pickaxe item.png Pickaxe875 Gold 25Common
Poacher's Dirk item.png Poacher's Dirk750 Gold 15Common
Ravenous Hydra item.png Ravenous Hydra3500 Gold 75Common
Serrated Dirk item.png Serrated Dirk1100 Gold 25Common
Sterak's Gage item.png Sterak's Gage2600 Gold 25% baseCommon
The Black Cleaver item.png The Black Cleaver3000 Gold 40Common
The Bloodthirster item.png The Bloodthirster3700 Gold 75Common
Tiamat item.png Tiamat1200 Gold 20Common
Titanic Hydra item.png Titanic Hydra3500 Gold 35Common
Trinity Force item.png Trinity Force3733 Gold 25Common
Vampiric Scepter item.png Vampiric Scepter900 Gold 15Common
Warrior item.png Warrior1625 Gold 60Classic
Youmuu's Ghostblade item.png Youmuu's Ghostblade2900 Gold 60Common

Champion abilities

Some of these abilities have multiple effects. This list only shows their bonuses to Attack Damage. For more information on each ability follow its link.

Champion Ability Bonus type Bonus Notes
Dr. Mundo Dr. Mundo Masochism.png Masochism Active 30 / 50 / 70 / 90 / 110 + 1% per 1% health he is missing Lasts 5 seconds.
Hecarim Hecarim Warpath.png Warpath Passive 15% - 30% (based on level) of his bonus movement speed.
Janna Janna Eye of the Storm.png Eye of the Storm Active Allied unit's attack damage increased by 10 / 17.5 / 25 / 32.5 / 40 (+ 10% AP) Lasts 5 seconds or until the shield breaks
Jhin Jhin Whisper.png Whisper Active 2% - 40% (based on level)(+ 4% per 10% critical chance)

(+ 2.5% per 10% bonus attack speed).

Master Yi Master Yi Wuju Style.png Wuju Style Passive 10% of his attack damage When the ability is not on cooldown.
Nocturne Nocturne Duskbringer.png Duskbringer Active 15 / 25 / 35 / 45 / 55 As long as he is on the trail created by the ability.
Rammus Rammus Spiked Shell.png Spiked Shell Passive 25% of his armor.
Rengar Rengar Bonetooth Necklace.png Bonetooth Necklace Active 1 / 3 / 7 / 13 / 20 attack damage + 1 / 3 / 7 / 13 / 20% of his bonus attack damage Based on how many champions he has killed. Head of Kha'Zix item.png The Head of Kha'Zix, obtained from The Hunt is On!, further increases this bonus to 28 attack damage + 28% of his bonus attack damage.
Riven Riven Blade of the Exile.png Blade of the Exile Active 20% of her total AD Lasts 15 seconds.
Trundle Trundle Chomp.png Chomp Active 20 / 25 / 30 / 35 / 40 Lasts 8 seconds.
Tryndamere Tryndamere Bloodlust.png Bloodlust Passive 5 / 10 / 15 / 20 / 25 plus 0.15 / 0.20 / 0.25 / 0.30 / 0.35 per 1% of his maximum health missing.
Twitch Twitch Rat-Ta-Tat-Tat.png Rat-Ta-Tat-Tat Active 20 / 30 / 40 Lasts 7 seconds.
Vayne Vayne Final Hour.png Final Hour Active 30 / 50 / 70 Lasts 8 / 10 / 12 seconds.
Zed Zed Death Mark.png Death Mark Active 5 (+ 5 / 10 / 15% of target's total AD) After scoring a kill or assist with Death Mark or while Death Mark is active.

Masteries

  • Arcane Mastery mastery s4.png Natural Talent: Grants 0.4 / 0.8 / 1.2 / 1.6 / 2 + (0.089 / 0.178 / 0.267 / 0.356 / 0.444 × level) attack damage (2 / 4 / 6 / 8 / 10 at level 18) and 0.6 / 1.2 / 1.8 / 2.4 / 3 + (0.133 / 0.267 / 0.4 / 0.533 / 0.667 × level) ability power (3 / 6 / 9 / 12 / 15 at level 18).

Runes

Type Tier 3 % of Highest Price
Attack Damage
AD mark 3 Mark 0.95 100% 102 IP
AD seal 3 Seal 0.43 45% 205 IP
AD glyph 3 Glyph 0.28 29% 205 IP
AD quint 3 Quintessence 2.25 79% 512 IP
Scaling Attack Damage
Scaling AD mark 3 Mark 0.13 per level
(2.43)
100% 410 IP
Scaling AD seal 3 Seal 0.06 per level
(1.09)
45% 205 IP
Scaling AD glyph 3 Glyph 0.04 per level
(0.73)
30% 205 IP
Scaling AD quint 3 Quintessence 0.25 per level
(4.5)
62% 515 IP

Neutral buffs

  • The Hand of Baron.png Hand of Baron buff grants up to 40 attack power and ability power (scaling with game time) for 3 minutes.
  • Dragon Slayer.png Dragon Slayer grants 8 / 16 / 24% (+50% with Mark of the Elder Dragon) increased attack damage if the Infernal Drake is slain.

Penalties

Champion's abilities

Some of these abilities have multiple effects. This list only shows their bonuses to Attack Damage. For more information on each ability follow its link.

Note that an effect that reduces damage is not the same as decreasing a champion's attack damage.

  • Tryndamere Tryndamere's Mocking Shout.png Mocking Shout reduces surrounding enemy champions' attack damage by 20 / 35 / 50 / 65 / 80 for 4 seconds.
  • Trundle Trundle's Chomp.png Chomp reduces the opponent's attack damage by 10 / 12.5 / 15 / 17.5 / 20 for 8 seconds.

Champions attack damage

The highest and lowest base damage champions
Champion Level Top 5 champions Bottom 5 champions
Level 1 1. Maokai Maokai 63.544 AD 1. Orianna Orianna 40.368 AD
2. Kalista Kalista 62.92 AD 2. Karthus Karthus 45.66 AD
3. Warwick Warwick 58 AD 3. Miss Fortune Miss Fortune 46 AD
4. Singed Singed 62.32 AD 4. Lulu Lulu 46.368 AD
5. Galio Galio 59 AD 5. Thresh Thresh 47.696 AD
5. Jax Jax
5. Malphite Malphite
Level 18 1. Mordekaiser Mordekaiser 146 AD 1. Miss Fortune Miss Fortune 63 AD
2. Illaoi Illaoi 145 AD 2. Kindred Kindred 81.79 AD
3. Yorick Yorick 142 AD 3. Vayne Vayne 84.1 AD
4. Darius Darius 140.88 AD 4. Orianna Orianna 84.568 AD
5. Garen Garen 134.38 AD 5. Thresh Thresh 85.096 AD

Trivia

Last updated: March 10, 2017 – V7.5

Alternatively killing Zeds

Two Zed Zeds can alternately kill each other with Death Mark.png Death Mark:

Let's say the AD of Zed Zed 1 is X and the AD of Zed Zed 2 is Y. Zed Zed 1 kills first. The AD of the killer after n kills can be calculated as follows:

  • Define two sequences A= {an} and B= {bn}, where n = 0, 1, 2...
  • a0 = X, b0 = Y
  • For n ≥ 1, an = X + 5 + 0.15bn-1, bn = Y + 5 + 0.15an
  • The AD of Zed Zed 1 after n kills is an, while that of Zed Zed 2 is bn
  • This gives the formula
  AD of Zed Zed 1 after his nth kill
  = X(1 - 0.152n)/0.9775 + 0.15Y(1 - 0.152n)/0.9775 + 5(1 - 0.152n-1)/0.85
AD of Zed Zed 2 after his nth kill = 0.15X(1 - 0.152n)/0.9775 + Y(1 - 0.152n+2)/0.9775 + 5(1 - 0.152n)/0.85

Therefore,

  AD of Zed Zed 1 after he has infinitely many kills = (X + 0.15Y)/0.9775 + 5/0.85
  AD of Zed Zed 2 after he has infinitely many kills = (0.15X + Y)/0.9775 + 5/0.85


Largest AD

At level 18, Jhin Jhin can reach one of the largest amounts of AD possible: 2654.74311025,

Still, two champions can reach a higher AD:

  • Hecarim Hecarim with 8474.477034167 movement speed or higher.
  • Rammus Rammus with 10157.452441 armor or higher.

Relevant mathematics:

Other

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