What is the LCM of 80 and 400?

What's the Least Common Multiple (LCM) of 80 and 400?

Answer

LCM of 80 and 400 is

400

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

As a common denominator: multiply the top and bottom of x/80 by 5.

80 divides 400 (400 ÷ 80 = 5), so the LCM is the larger number itself.

80 = 2⁴ × 5

400 = 2⁴ × 5²

Prime	80	400	Highest power
2	2⁴	2⁴	2⁴
5	5	5²	5²

LCM = 2⁴ × 5² = 400

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