What is the LCM of 16 and 80?

What's the Least Common Multiple (LCM) of 16 and 80?

Answer

LCM of 16 and 80 is

80

First common multiples: 80, 160, 240, …

As a common denominator: multiply the top and bottom of x/16 by 5.

16 divides 80 (80 ÷ 16 = 5), so the LCM is the larger number itself.

16 = 2⁴

80 = 2⁴ × 5

Prime	16	80	Highest power
2	2⁴	2⁴	2⁴
5	—	5	5

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

LCM = 2⁴ × 5 = 80

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