What is the LCM of 10 and 50?

What's the Least Common Multiple (LCM) of 10 and 50?

Answer

LCM of 10 and 50 is

50

First common multiples: 50, 100, 150, …

As a common denominator: multiply the top and bottom of x/10 by 5.

10 divides 50 (50 ÷ 10 = 5), so the LCM is the larger number itself.

10 = 2 × 5

50 = 2 × 5²

Prime	10	50	Highest power
2	2	2	2
5	5	5²	5²

LCM = 2 × 5² = 50

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