LCM for 22 and 26

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What's the Least Common Multiple (LCM) of 22 and 26?

Answer

LCM of 22 and 26 is
286

First common multiples: 286, 572, 858, …

286 is divisible by both: 286 ÷ 22 = 13, 286 ÷ 26 = 11 — and 13 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/22 by 13 and of y/26 by 11.

22 = 2 × 11

26 = 2 × 13

Prime2226Highest power
2222
1111—11
13—1313

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

LCM = 2 × 11 × 13 = 286

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FAQ

What's the Least Common Multiple (LCM) of 22 and 26?

LCM of 22 and 26 is 286

How to find the LCM of 22 and 26 using prime factorization?

To find the LCM of 22 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 286.

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 22 and 26: LCM = 286, GCF = 2.