What is the LCM of 16 and 96?

What's the Least Common Multiple (LCM) of 16 and 96?

Answer

LCM of 16 and 96 is

96

First common multiples: 96, 192, 288, …

As a common denominator: multiply the top and bottom of x/16 by 6.

16 divides 96 (96 ÷ 16 = 6), so the LCM is the larger number itself.

16 = 2⁴

96 = 2⁵ × 3

Prime	16	96	Highest power
2	2⁴	2⁵	2⁵
3	—	3	3

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

LCM = 2⁵ × 3 = 96

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Multiples of a Number - List the first 10 multiples of any number from 1 to 999

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