LCM for 3 and 44

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What's the Least Common Multiple (LCM) of 3 and 44?

Answer

LCM of 3 and 44 is
132

First common multiples: 132, 264, 396, …

132 is divisible by both: 132 ÷ 3 = 44, 132 ÷ 44 = 3 — and 44 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 44 and of y/44 by 3.

3 and 44 are coprime (GCF = 1), so their LCM is simply the product: 3 × 44 = 132.

3 — prime

44 = 22 × 11

Prime344Highest power
2—2222
33—3
11—1111

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

LCM = 22 × 3 × 11 = 132

See Also

FAQ

What's the Least Common Multiple (LCM) of 3 and 44?

LCM of 3 and 44 is 132

How to find the LCM of 3 and 44 using prime factorization?

To find the LCM of 3 and 44, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 132.

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 44: LCM = 132, GCF = 1.