LCM for 2 and 12

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What's the Least Common Multiple (LCM) of 2 and 12?

Answer

LCM of 2 and 12 is
12

First common multiples: 12, 24, 36, …

As a common denominator: multiply the top and bottom of x/2 by 6.

2 divides 12 (12 ÷ 2 = 6), so the LCM is the larger number itself.

2 — prime

12 = 22 × 3

Prime212Highest power
222222
3—33

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

LCM = 22 × 3 = 12

See Also

FAQ

What's the Least Common Multiple (LCM) of 2 and 12?

LCM of 2 and 12 is 12

How to find the LCM of 2 and 12 using prime factorization?

To find the LCM of 2 and 12, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 12.

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 12: LCM = 12, GCF = 2.