LCM for 3 and 65

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What's the Least Common Multiple (LCM) of 3 and 65?

Answer

LCM of 3 and 65 is
195

First common multiples: 195, 390, 585, …

195 is divisible by both: 195 ÷ 3 = 65, 195 ÷ 65 = 3 — and 65 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/3 by 65 and of y/65 by 3.

3 and 65 are coprime (GCF = 1), so their LCM is simply the product: 3 × 65 = 195.

3 — prime

65 = 5 × 13

Prime365Highest power
33—3
5—55
13—1313

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

LCM = 3 × 5 × 13 = 195

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 65?

LCM of 3 and 65 is 195

How to find the LCM of 3 and 65 using prime factorization?

To find the LCM of 3 and 65, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 195.

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 3 and 65: LCM = 195, GCF = 1.