What is the LCM of 6 and 58?

What's the Least Common Multiple (LCM) of 6 and 58?

Answer

LCM of 6 and 58 is

174

First common multiples: 174, 348, 522, …

174 is divisible by both: 174 ÷ 6 = 29, 174 ÷ 58 = 3 — and 29 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 29 and of y/58 by 3.

6 = 2 × 3

58 = 2 × 29

Prime	6	58	Highest power
2	2	2	2
3	3	—	3
29	—	29	29

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

LCM = 2 × 3 × 29 = 174

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What is the LCM of 6 and 58?. The LCM of 6 and 58 is 174 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/6--58/generated.jpg

LCM Table

Number 1	Number 2	LCM
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
6	90	90
6	100	300

LCM for 6 and 58

What's the Least Common Multiple (LCM) of 6 and 58?

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See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 58?

How to find the LCM of 6 and 58 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
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
6	90	90
6	100	300

Number 1	Number 2	LCM
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
6	90	90
6	100	300

Number 1	Number 2	LCM
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
6	90	90
6	100	300