What is the LCM of 10 and 110?

What's the Least Common Multiple (LCM) of 10 and 110?

Answer

LCM of 10 and 110 is

110

First common multiples: 110, 220, 330, …

As a common denominator: multiply the top and bottom of x/10 by 11.

10 divides 110 (110 ÷ 10 = 11), so the LCM is the larger number itself.

10 = 2 × 5

110 = 2 × 5 × 11

Prime	10	110	Highest power
2	2	2	2
5	5	5	5
11	—	11	11

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

LCM = 2 × 5 × 11 = 110

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