LCM for 6 and 17

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 17?

Answer

LCM of 6 and 17 is

102

First common multiples: 102, 204, 306, …

102 is divisible by both: 102 ÷ 6 = 17, 102 ÷ 17 = 6 — and 17 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 17 and of y/17 by 6.

6 and 17 are coprime (GCF = 1), so their LCM is simply the product: 6 × 17 = 102.

6 = 2 × 3

17 — prime

Prime	6	17	Highest power
2	2	—	2
3	3	—	3
17	—	17	17

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

LCM = 2 × 3 × 17 = 102

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
6	2	6
6	4	12
6	5	30
6	7	42
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

FAQ

What's the Least Common Multiple (LCM) of 6 and 17?

LCM of 6 and 17 is 102

How to find the LCM of 6 and 17 using prime factorization?

To find the LCM of 6 and 17, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 102.

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 17: LCM = 102, GCF = 1.

LCM for 6 and 17

What's the Least Common Multiple (LCM) of 6 and 17?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 17?

How to find the LCM of 6 and 17 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
6	2	6
6	4	12
6	5	30
6	7	42
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

Number 1	Number 2	LCM
6	2	6
6	4	12
6	5	30
6	7	42
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

Number 1	Number 2	LCM
6	2	6
6	4	12
6	5	30
6	7	42
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