LCM for 54 and 36

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What's the Least Common Multiple (LCM) of 54 and 36?

Answer

LCM of 54 and 36 is
108

First common multiples: 108, 216, 324, …

108 is divisible by both: 108 ÷ 54 = 2, 108 ÷ 36 = 3 — and 2 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 2 and of y/36 by 3.

54 = 2 × 33

36 = 22 × 32

Prime5436Highest power
222222
3333233

LCM = 22 × 33 = 108

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
5421378
5422594
54231,242
5424216
54251,350
5426702
542754
5428756
54291,566
5430270
54311,674
5432864
5433594
5434918
54351,890
5436108
54371,998
54381,026
5439702
54401,080
54412,214
5442378
54432,322
54441,188
5445270
54461,242
54472,538
5448432
54492,646
54501,350

FAQ

What's the Least Common Multiple (LCM) of 54 and 36?

LCM of 54 and 36 is 108

How to find the LCM of 54 and 36 using prime factorization?

To find the LCM of 54 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 108.

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 36: LCM = 108, GCF = 18.

See Also