What is the LCM of 6 and 27?

What's the Least Common Multiple (LCM) of 6 and 27?

Answer

LCM of 6 and 27 is

54

First common multiples: 54, 108, 162, …

54 is divisible by both: 54 ÷ 6 = 9, 54 ÷ 27 = 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/6 by 9 and of y/27 by 2.

6 = 2 × 3

27 = 3³

Prime	6	27	Highest power
2	2	—	2
3	3	3³	3³

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

LCM = 2 × 3³ = 54

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What is the LCM of 6 and 27? The LCM of 6 and 27 is 54 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/6--27/generated.jpg

LCM Table

Number 1	Number 2	LCM
6	12	12
6	13	78
6	14	42
6	15	30
6	16	48
6	17	102
6	18	18
6	19	114
6	20	60
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48

LCM for 6 and 27

What's the Least Common Multiple (LCM) of 6 and 27?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 27?

How to find the LCM of 6 and 27 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
6	12	12
6	13	78
6	14	42
6	15	30
6	16	48
6	17	102
6	18	18
6	19	114
6	20	60
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48

Number 1	Number 2	LCM
6	12	12
6	13	78
6	14	42
6	15	30
6	16	48
6	17	102
6	18	18
6	19	114
6	20	60
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48

Number 1	Number 2	LCM
6	12	12
6	13	78
6	14	42
6	15	30
6	16	48
6	17	102
6	18	18
6	19	114
6	20	60
6	21	42
6	22	66
6	23	138
6	24	24
6	25	150
6	26	78
6	27	54
6	28	84
6	30	30
6	31	186
6	32	96
6	35	210
6	36	36
6	38	114
6	39	78
6	40	120
6	42	42
6	44	132
6	45	90
6	47	282
6	48	48