LCM for 14 and 84

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What's the Least Common Multiple (LCM) of 14 and 84?

Answer

LCM of 14 and 84 is
84

First common multiples: 84, 168, 252, …

As a common denominator: multiply the top and bottom of x/14 by 6.

14 divides 84 (84 ÷ 14 = 6), so the LCM is the larger number itself.

14 = 2 × 7

84 = 22 × 3 × 7

Prime1484Highest power
222222
3—33
7777

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

LCM = 22 × 3 × 7 = 84

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FAQ

What's the Least Common Multiple (LCM) of 14 and 84?

LCM of 14 and 84 is 84

How to find the LCM of 14 and 84 using prime factorization?

To find the LCM of 14 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 84.

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 14 and 84: LCM = 84, GCF = 14.