LCM for 3 and 52

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 3 and 52?

Answer

LCM of 3 and 52 is
156

First common multiples: 156, 312, 468, …

156 is divisible by both: 156 ÷ 3 = 52, 156 ÷ 52 = 3 — and 52 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 52 and of y/52 by 3.

3 and 52 are coprime (GCF = 1), so their LCM is simply the product: 3 × 52 = 156.

3 — prime

52 = 22 × 13

Prime352Highest power
2—2222
33—3
13—1313

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

LCM = 22 × 3 × 13 = 156

Related Calculations

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 52?

LCM of 3 and 52 is 156

How to find the LCM of 3 and 52 using prime factorization?

To find the LCM of 3 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 156.

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 52: LCM = 156, GCF = 1.