What is the LCM of 10 and 100?

What's the Least Common Multiple (LCM) of 10 and 100?

Answer

LCM of 10 and 100 is

100

First common multiples: 100, 200, 300, …

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

10 divides 100 (100 ÷ 10 = 10), so the LCM is the larger number itself.

10 = 2 × 5

100 = 2² × 5²

Prime	10	100	Highest power
2	2	2²	2²
5	5	5²	5²

LCM = 2² × 5² = 100

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