What is the LCM of 6 and 23?

What's the Least Common Multiple (LCM) of 6 and 23?

Answer

LCM of 6 and 23 is

138

First common multiples: 138, 276, 414, …

138 is divisible by both: 138 ÷ 6 = 23, 138 ÷ 23 = 6 — and 23 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 23 and of y/23 by 6.

6 and 23 are coprime (GCF = 1), so their LCM is simply the product: 6 × 23 = 138.

6 = 2 × 3

23 — prime

Prime	6	23	Highest power
2	2	—	2
3	3	—	3
23	—	23	23

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

LCM = 2 × 3 × 23 = 138

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What is the LCM of 6 and 23? The LCM of 6 and 23 is 138 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/6--23/generated.jpg

LCM Table

Number 1	Number 2	LCM
6	8	24
6	9	18
6	10	30
6	11	66
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

LCM for 6 and 23

What's the Least Common Multiple (LCM) of 6 and 23?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 23?

How to find the LCM of 6 and 23 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
6	8	24
6	9	18
6	10	30
6	11	66
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

Number 1	Number 2	LCM
6	8	24
6	9	18
6	10	30
6	11	66
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

Number 1	Number 2	LCM
6	8	24
6	9	18
6	10	30
6	11	66
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