What is the LCM of 40 and 120?

What's the Least Common Multiple (LCM) of 40 and 120?

Answer

LCM of 40 and 120 is

120

First common multiples: 120, 240, 360, …

As a common denominator: multiply the top and bottom of x/40 by 3.

40 divides 120 (120 ÷ 40 = 3), so the LCM is the larger number itself.

40 = 2³ × 5

120 = 2³ × 3 × 5

Prime	40	120	Highest power
2	2³	2³	2³
3	—	3	3
5	5	5	5

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

LCM = 2³ × 3 × 5 = 120

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