LCM for 7 and 21

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What's the Least Common Multiple (LCM) of 7 and 21?

Answer

LCM of 7 and 21 is
21

First common multiples: 21, 42, 63, …

As a common denominator: multiply the top and bottom of x/7 by 3.

7 divides 21 (21 ÷ 7 = 3), so the LCM is the larger number itself.

7 — prime

21 = 3 × 7

Prime721Highest power
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 = 3 × 7 = 21

See Also

FAQ

What's the Least Common Multiple (LCM) of 7 and 21?

LCM of 7 and 21 is 21

How to find the LCM of 7 and 21 using prime factorization?

To find the LCM of 7 and 21, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 21.

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 7 and 21: LCM = 21, GCF = 7.