LCM for 6 and 31

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 31?

Answer

LCM of 6 and 31 is

186

First common multiples: 186, 372, 558, …

186 is divisible by both: 186 ÷ 6 = 31, 186 ÷ 31 = 6 — and 31 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 31 and of y/31 by 6.

6 and 31 are coprime (GCF = 1), so their LCM is simply the product: 6 × 31 = 186.

6 = 2 × 3

31 — prime

Prime	6	31	Highest power
2	2	—	2
3	3	—	3
31	—	31	31

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

LCM = 2 × 3 × 31 = 186

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174

FAQ

What's the Least Common Multiple (LCM) of 6 and 31?

LCM of 6 and 31 is 186

How to find the LCM of 6 and 31 using prime factorization?

To find the LCM of 6 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 186.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 6 and 31: LCM = 186, GCF = 1.

LCM for 6 and 31

What's the Least Common Multiple (LCM) of 6 and 31?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 31?

How to find the LCM of 6 and 31 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174

Number 1	Number 2	LCM
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
6	50	150
6	52	156
6	58	174