LCM for 26 and 52

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What's the Least Common Multiple (LCM) of 26 and 52?

Answer

LCM of 26 and 52 is
52

First common multiples: 52, 104, 156, …

As a common denominator: multiply the top and bottom of x/26 by 2.

26 divides 52 (52 ÷ 26 = 2), so the LCM is the larger number itself.

26 = 2 × 13

52 = 22 × 13

Prime2652Highest power
222222
13131313

LCM = 22 × 13 = 52

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FAQ

What's the Least Common Multiple (LCM) of 26 and 52?

LCM of 26 and 52 is 52

How to find the LCM of 26 and 52 using prime factorization?

To find the LCM of 26 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 52.

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 26 and 52: LCM = 52, GCF = 26.