LCM for 11 and 20

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What's the Least Common Multiple (LCM) of 11 and 20?

Answer

LCM of 11 and 20 is
220

First common multiples: 220, 440, 660, …

220 is divisible by both: 220 ÷ 11 = 20, 220 ÷ 20 = 11 — and 20 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/11 by 20 and of y/20 by 11.

11 and 20 are coprime (GCF = 1), so their LCM is simply the product: 11 × 20 = 220.

11 — prime

20 = 22 × 5

Prime1120Highest power
2—2222
5—55
1111—11

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 5 × 11 = 220

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LCM Table

Number 1Number 2LCM
11777
1112132
1113143
1114154
1115165
1116176
1117187
1120220
1121231
112222
1123253
1124264
1126286
1127297
1131341
1132352
113333
1134374
1135385
1137407
1139429
1141451
1142462
1143473
114444
1145495
1147517
1149539
1150550
1151561

FAQ

What's the Least Common Multiple (LCM) of 11 and 20?

LCM of 11 and 20 is 220

How to find the LCM of 11 and 20 using prime factorization?

To find the LCM of 11 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 220.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 11 and 20: LCM = 220, GCF = 1.

See Also