What is the LCM of 6 and 38?

What's the Least Common Multiple (LCM) of 6 and 38?

Answer

LCM of 6 and 38 is

114

First common multiples: 114, 228, 342, …

114 is divisible by both: 114 ÷ 6 = 19, 114 ÷ 38 = 3 — and 19 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 19 and of y/38 by 3.

6 = 2 × 3

38 = 2 × 19

Prime	6	38	Highest power
2	2	2	2
3	3	—	3
19	—	19	19

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

LCM = 2 × 3 × 19 = 114

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What is the LCM of 6 and 38? The LCM of 6 and 38 is 114 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/6--38/generated.jpg

LCM Table

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162

LCM for 6 and 38

What's the Least Common Multiple (LCM) of 6 and 38?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 38?

How to find the LCM of 6 and 38 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174
6	59	354
6	60	60
6	80	240
6	81	162