LCM for 13 and 65

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What's the Least Common Multiple (LCM) of 13 and 65?

Answer

LCM of 13 and 65 is
65

First common multiples: 65, 130, 195, …

As a common denominator: multiply the top and bottom of x/13 by 5.

13 divides 65 (65 ÷ 13 = 5), so the LCM is the larger number itself.

13 — prime

65 = 5 × 13

Prime1365Highest power
5—55
13131313

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

LCM = 5 × 13 = 65

See Also

FAQ

What's the Least Common Multiple (LCM) of 13 and 65?

LCM of 13 and 65 is 65

How to find the LCM of 13 and 65 using prime factorization?

To find the LCM of 13 and 65, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 65.

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 13 and 65: LCM = 65, GCF = 13.