What is the LCM of 10 and 60?

What's the Least Common Multiple (LCM) of 10 and 60?

Answer

LCM of 10 and 60 is

60

First common multiples: 60, 120, 180, …

As a common denominator: multiply the top and bottom of x/10 by 6.

10 divides 60 (60 ÷ 10 = 6), so the LCM is the larger number itself.

10 = 2 × 5

60 = 2² × 3 × 5

Prime	10	60	Highest power
2	2	2²	2²
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 = 2² × 3 × 5 = 60

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