What is the LCM of 10 and 5?

What's the Least Common Multiple (LCM) of 10 and 5?

Answer

LCM of 10 and 5 is

10

First common multiples: 10, 20, 30, …

As a common denominator: multiply the top and bottom of y/5 by 2.

5 divides 10 (10 ÷ 5 = 2), so the LCM is the larger number itself.

10 = 2 × 5

5 — prime

Prime	10	5	Highest power
2	2	—	2
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 = 2 × 5 = 10

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