LCM for 16 and 26

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What's the Least Common Multiple (LCM) of 16 and 26?

Answer

LCM of 16 and 26 is
208

First common multiples: 208, 416, 624, …

208 is divisible by both: 208 ÷ 16 = 13, 208 ÷ 26 = 8 — and 13 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/16 by 13 and of y/26 by 8.

16 = 24

26 = 2 × 13

Prime1626Highest power
224224
13—1313

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

LCM = 24 × 13 = 208

See Also

FAQ

What's the Least Common Multiple (LCM) of 16 and 26?

LCM of 16 and 26 is 208

How to find the LCM of 16 and 26 using prime factorization?

To find the LCM of 16 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 208.

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 16 and 26: LCM = 208, GCF = 2.