What is the LCM of 20 and 220?

What's the Least Common Multiple (LCM) of 20 and 220?

Answer

LCM of 20 and 220 is

220

First common multiples: 220, 440, 660, …

As a common denominator: multiply the top and bottom of x/20 by 11.

20 divides 220 (220 ÷ 20 = 11), so the LCM is the larger number itself.

20 = 2² × 5

220 = 2² × 5 × 11

Prime	20	220	Highest power
2	2²	2²	2²
5	5	5	5
11	—	11	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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