LCM for 28 and 56

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What's the Least Common Multiple (LCM) of 28 and 56?

Answer

LCM of 28 and 56 is
56

First common multiples: 56, 112, 168, …

As a common denominator: multiply the top and bottom of x/28 by 2.

28 divides 56 (56 ÷ 28 = 2), so the LCM is the larger number itself.

28 = 22 × 7

56 = 23 × 7

Prime2856Highest power
2222323
7777

LCM = 23 × 7 = 56

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FAQ

What's the Least Common Multiple (LCM) of 28 and 56?

LCM of 28 and 56 is 56

How to find the LCM of 28 and 56 using prime factorization?

To find the LCM of 28 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 56.

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 28 and 56: LCM = 56, GCF = 28.