LCM for 8 and 26

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What's the Least Common Multiple (LCM) of 8 and 26?

Answer

LCM of 8 and 26 is
104

First common multiples: 104, 208, 312, …

104 is divisible by both: 104 ÷ 8 = 13, 104 ÷ 26 = 4 — and 13 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 13 and of y/26 by 4.

8 = 23

26 = 2 × 13

Prime826Highest power
223223
13—1313

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

LCM = 23 × 13 = 104

See Also

FAQ

What's the Least Common Multiple (LCM) of 8 and 26?

LCM of 8 and 26 is 104

How to find the LCM of 8 and 26 using prime factorization?

To find the LCM of 8 and 26, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 104.

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 8 and 26: LCM = 104, GCF = 2.