LCM for 54 and 18

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What's the Least Common Multiple (LCM) of 54 and 18?

Answer

LCM of 54 and 18 is
54

First common multiples: 54, 108, 162, …

As a common denominator: multiply the top and bottom of y/18 by 3.

18 divides 54 (54 ÷ 18 = 3), so the LCM is the larger number itself.

54 = 2 × 33

18 = 2 × 32

Prime5418Highest power
2222
3333233

LCM = 2 × 33 = 54

See Also

LCM Table

Number 1Number 2LCM
54354
544108
545270
54654
547378
548216
54954
5410270
5411594
5412108
5413702
5414378
5415270
5416432
5417918
541854
54191,026
5420540
5421378
5422594
54231,242
5424216
54251,350
5426702
542754
5428756
54291,566
5430270
54311,674
5432864

FAQ

What's the Least Common Multiple (LCM) of 54 and 18?

LCM of 54 and 18 is 54

How to find the LCM of 54 and 18 using prime factorization?

To find the LCM of 54 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 54.

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 18: LCM = 54, GCF = 18.