What is the LCM of 10 and 260?

What's the Least Common Multiple (LCM) of 10 and 260?

Answer

LCM of 10 and 260 is

260

First common multiples: 260, 520, 780, …

As a common denominator: multiply the top and bottom of x/10 by 26.

10 divides 260 (260 ÷ 10 = 26), so the LCM is the larger number itself.

10 = 2 × 5

260 = 2² × 5 × 13

Prime	10	260	Highest power
2	2	2²	2²
5	5	5	5
13	—	13	13

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

LCM = 2² × 5 × 13 = 260

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