LCM for 2 and 72

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What's the Least Common Multiple (LCM) of 2 and 72?

Answer

LCM of 2 and 72 is
72

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of x/2 by 36.

2 divides 72 (72 ÷ 2 = 36), so the LCM is the larger number itself.

2 — prime

72 = 23 × 32

Prime272Highest power
222323
3—3232

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

LCM = 23 × 32 = 72

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FAQ

What's the Least Common Multiple (LCM) of 2 and 72?

LCM of 2 and 72 is 72

How to find the LCM of 2 and 72 using prime factorization?

To find the LCM of 2 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 2 and 72: LCM = 72, GCF = 2.