What is the LCM of 54 and 36?

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

Prime	54	36	Highest power
2	2	2²	2²
3	3³	3²	3³

LCM = 2² × 3³ = 108

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What is the LCM of 54 and 36?. The LCM of 54 and 36 is 108 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/54--36/generated.jpg

LCM Table

Number 1	Number 2	LCM
54	21	378
54	22	594
54	23	1,242
54	24	216
54	25	1,350
54	26	702
54	27	54
54	28	756
54	29	1,566
54	30	270
54	31	1,674
54	32	864
54	33	594
54	34	918
54	35	1,890
54	36	108
54	37	1,998
54	38	1,026
54	39	702
54	40	1,080
54	41	2,214
54	42	378
54	43	2,322
54	44	1,188
54	45	270
54	46	1,242
54	47	2,538
54	48	432
54	49	2,646
54	50	1,350

LCM for 54 and 36

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

More with these numbers

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LCM Table

FAQ

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

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

What is the difference between LCM and GCF?

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