What is the LCM of 10 and 400?

What's the Least Common Multiple (LCM) of 10 and 400?

Answer

LCM of 10 and 400 is

400

First common multiples: 400; 800; 1,200; …

As a common denominator: multiply the top and bottom of x/10 by 40.

10 divides 400 (400 ÷ 10 = 40), so the LCM is the larger number itself.

10 = 2 × 5

400 = 2⁴ × 5²

Prime	10	400	Highest power
2	2	2⁴	2⁴
5	5	5²	5²

LCM = 2⁴ × 5² = 400

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