What is the LCM of 6, 8 and 18?

What's the Least Common Multiple (LCM) of 6, 8 and 18?

Answer

LCM of 6, 8 and 18 is

72

First common multiples: 72, 144, 216, …

72 is divisible by all three: 72 ÷ 6 = 12, 72 ÷ 8 = 9, 72 ÷ 18 = 4 — and 12, 9 and 4 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 12 and of y/8 by 9 and of z/18 by 4.

6 = 2 × 3

8 = 2³

18 = 2 × 3²

Prime	6	8	18	Highest power
2	2	2³	2	2³
3	3	—	3²	3²

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

LCM = 2³ × 3² = 72

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
3	6	8	24
4	6	8	24
5	6	8	120
6	6	8	24
6	7	8	168
6	8	8	24
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96

LCM for 6, 8 and 18

What's the Least Common Multiple (LCM) of 6, 8 and 18?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 8 and 18?

How to find the LCM of 6, 8 and 18 by prime factorization?

Can you get the LCM of 6, 8 and 18 two numbers at a time?

Is 72 divisible by 6, 8 and 18?

See Also

1st	2nd	3rd	LCM
3	6	8	24
4	6	8	24
5	6	8	120
6	6	8	24
6	7	8	168
6	8	8	24
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96

1st	2nd	3rd	LCM
3	6	8	24
4	6	8	24
5	6	8	120
6	6	8	24
6	7	8	168
6	8	8	24
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96

1st	2nd	3rd	LCM
3	6	8	24
4	6	8	24
5	6	8	120
6	6	8	24
6	7	8	168
6	8	8	24
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96