What is the LCM of 8 and 40?

What's the Least Common Multiple (LCM) of 8 and 40?

Answer

LCM of 8 and 40 is

40

First common multiples: 40, 80, 120, …

As a common denominator: multiply the top and bottom of x/8 by 5.

8 divides 40 (40 ÷ 8 = 5), so the LCM is the larger number itself.

8 = 2³

40 = 2³ × 5

Prime	8	40	Highest power
2	2³	2³	2³
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 × 5 = 40

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