What is the LCM of 20 and 440?

What's the Least Common Multiple (LCM) of 20 and 440?

Answer

LCM of 20 and 440 is

440

First common multiples: 440; 880; 1,320; …

As a common denominator: multiply the top and bottom of x/20 by 22.

20 divides 440 (440 ÷ 20 = 22), so the LCM is the larger number itself.

20 = 2² × 5

440 = 2³ × 5 × 11

Prime	20	440	Highest power
2	2²	2³	2³
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 = 2³ × 5 × 11 = 440

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