LCM for 12 and 88

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What's the Least Common Multiple (LCM) of 12 and 88?

Answer

LCM of 12 and 88 is
264

First common multiples: 264, 528, 792, …

264 is divisible by both: 264 ÷ 12 = 22, 264 ÷ 88 = 3 — and 22 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 22 and of y/88 by 3.

12 = 22 × 3

88 = 23 × 11

Prime1288Highest power
2222323
33—3
11—1111

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

LCM = 23 × 3 × 11 = 264

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FAQ

What's the Least Common Multiple (LCM) of 12 and 88?

LCM of 12 and 88 is 264

How to find the LCM of 12 and 88 using prime factorization?

To find the LCM of 12 and 88, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 264.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 12 and 88: LCM = 264, GCF = 4.