LCM for 12 and 76

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What's the Least Common Multiple (LCM) of 12 and 76?

Answer

LCM of 12 and 76 is
228

First common multiples: 228, 456, 684, …

228 is divisible by both: 228 ÷ 12 = 19, 228 ÷ 76 = 3 — and 19 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 19 and of y/76 by 3.

12 = 22 × 3

76 = 22 × 19

Prime1276Highest power
2222222
33—3
19—1919

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

LCM = 22 × 3 × 19 = 228

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FAQ

What's the Least Common Multiple (LCM) of 12 and 76?

LCM of 12 and 76 is 228

How to find the LCM of 12 and 76 using prime factorization?

To find the LCM of 12 and 76, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 228.

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 76: LCM = 228, GCF = 4.