LCM for 12 and 72

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What's the Least Common Multiple (LCM) of 12 and 72?

Answer

LCM of 12 and 72 is
72

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of x/12 by 6.

12 divides 72 (72 ÷ 12 = 6), so the LCM is the larger number itself.

12 = 22 × 3

72 = 23 × 32

Prime1272Highest power
2222323
333232

LCM = 23 × 32 = 72

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FAQ

What's the Least Common Multiple (LCM) of 12 and 72?

LCM of 12 and 72 is 72

How to find the LCM of 12 and 72 using prime factorization?

To find the LCM of 12 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 72: LCM = 72, GCF = 12.