What is the LCM of 20 and 140?

What's the Least Common Multiple (LCM) of 20 and 140?

Answer

LCM of 20 and 140 is

140

First common multiples: 140, 280, 420, …

As a common denominator: multiply the top and bottom of x/20 by 7.

20 divides 140 (140 ÷ 20 = 7), so the LCM is the larger number itself.

20 = 2² × 5

140 = 2² × 5 × 7

Prime	20	140	Highest power
2	2²	2²	2²
5	5	5	5
7	—	7	7

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

LCM = 2² × 5 × 7 = 140

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