What is the LCM of 12 and 54?

What's the Least Common Multiple (LCM) of 12 and 54?

Answer

LCM of 12 and 54 is

108

First common multiples: 108, 216, 324, …

108 is divisible by both: 108 ÷ 12 = 9, 108 ÷ 54 = 2 — and 9 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 9 and of y/54 by 2.

12 = 2² × 3

54 = 2 × 3³

Prime	12	54	Highest power
2	2²	2	2²
3	3	3³	3³

LCM = 2² × 3³ = 108

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What is the LCM of 12 and 54? The LCM of 12 and 54 is 108 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/12--54/generated.jpg

LCM Table

Number 1	Number 2	LCM
12	30	60
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300

LCM for 12 and 54

What's the Least Common Multiple (LCM) of 12 and 54?

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See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 12 and 54?

How to find the LCM of 12 and 54 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
12	30	60
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300

Number 1	Number 2	LCM
12	30	60
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300

Number 1	Number 2	LCM
12	30	60
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300