LCM for 54 and 63

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What's the Least Common Multiple (LCM) of 54 and 63?

Answer

LCM of 54 and 63 is
378

First common multiples: 378; 756; 1,134; …

378 is divisible by both: 378 ÷ 54 = 7, 378 ÷ 63 = 6 — and 7 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 7 and of y/63 by 6.

54 = 2 × 33

63 = 32 × 7

Prime5463Highest power
22—2
3333233
7—77

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

LCM = 2 × 33 × 7 = 378

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LCM Table

Number 1Number 2LCM
5448432
54492,646
54501,350
5451918
54521,404
54532,862
545454
54552,970
54561,512
54571,026
54581,566
54593,186
5460540
54613,294
54621,674
5463378
54641,728
54653,510
5466594
54673,618
54681,836
54691,242
54701,890
54713,834
5472216
54733,942
54741,998
54751,350
54762,052
54774,158

FAQ

What's the Least Common Multiple (LCM) of 54 and 63?

LCM of 54 and 63 is 378

How to find the LCM of 54 and 63 using prime factorization?

To find the LCM of 54 and 63, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 378.

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 54 and 63: LCM = 378, GCF = 9.

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