LCM for 12 and 300

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What's the Least Common Multiple (LCM) of 12 and 300?

Answer

LCM of 12 and 300 is
300

First common multiples: 300, 600, 900, …

As a common denominator: multiply the top and bottom of x/12 by 25.

12 divides 300 (300 ÷ 12 = 25), so the LCM is the larger number itself.

12 = 22 × 3

300 = 22 × 3 × 52

Prime12300Highest power
2222222
3333
5—5252

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

LCM = 22 × 3 × 52 = 300

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FAQ

What's the Least Common Multiple (LCM) of 12 and 300?

LCM of 12 and 300 is 300

How to find the LCM of 12 and 300 using prime factorization?

To find the LCM of 12 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 12 and 300: LCM = 300, GCF = 12.