LCM for 7 and 63

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What's the Least Common Multiple (LCM) of 7 and 63?

Answer

LCM of 7 and 63 is
63

First common multiples: 63, 126, 189, …

As a common denominator: multiply the top and bottom of x/7 by 9.

7 divides 63 (63 ÷ 7 = 9), so the LCM is the larger number itself.

7 — prime

63 = 32 × 7

Prime763Highest power
3—3232
7777

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

LCM = 32 × 7 = 63

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FAQ

What's the Least Common Multiple (LCM) of 7 and 63?

LCM of 7 and 63 is 63

How to find the LCM of 7 and 63 using prime factorization?

To find the LCM of 7 and 63, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 63.

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 63: LCM = 63, GCF = 7.