LCM for 2, 8 and 16

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 8 and 16?

Answer

LCM of 2, 8 and 16 is

First common multiples: 16, 32, 48, …

16 is divisible by all three: 16 ÷ 2 = 8, 16 ÷ 8 = 2, 16 ÷ 16 = 1 — and 8, 2 and 1 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/2 by 8 and of y/8 by 2.

2 — prime

8 = 2³

16 = 2⁴

Prime	2	8	16	Highest power
2	2	2³	2⁴	2⁴

LCM = 2⁴ = 16

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	8	8
2	2	8	8
2	3	8	24
2	4	8	8
2	5	8	40
2	6	8	24
2	7	8	56
2	8	8	8
2	8	9	72
2	8	10	40
2	8	11	88
2	8	12	24
2	8	13	104
2	8	14	56
2	8	15	120
2	8	16	16
2	8	17	136
2	8	18	72
2	8	19	152
2	8	20	40
2	8	21	168
2	8	22	88
2	8	23	184
2	8	24	24
2	8	25	200
2	8	26	104
2	8	27	216
2	8	28	56
2	8	29	232
2	8	30	120

FAQ

What's the Least Common Multiple (LCM) of 2, 8 and 16?

LCM of 2, 8 and 16 is 16

How to find the LCM of 2, 8 and 16 by prime factorization?

Take every prime that appears in 2, 8 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ = 16.

Can you get the LCM of 2, 8 and 16 two numbers at a time?

Yes. The LCM of 2 and 8 is 8, and the LCM of 8 and 16 is 16 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 16 divisible by 2, 8 and 16?

Yes, and by definition it is the smallest positive integer that is: 16 ÷ 2, 16 ÷ 8 and 16 ÷ 16 all come out whole. Any other common multiple of 2, 8 and 16 is a multiple of 16.

LCM for 2, 8 and 16

What's the Least Common Multiple (LCM) of 2, 8 and 16?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 8 and 16?

How to find the LCM of 2, 8 and 16 by prime factorization?

Can you get the LCM of 2, 8 and 16 two numbers at a time?

Is 16 divisible by 2, 8 and 16?

See Also

1st	2nd	3rd	LCM
1	2	8	8
2	2	8	8
2	3	8	24
2	4	8	8
2	5	8	40
2	6	8	24
2	7	8	56
2	8	8	8
2	8	9	72
2	8	10	40
2	8	11	88
2	8	12	24
2	8	13	104
2	8	14	56
2	8	15	120
2	8	16	16
2	8	17	136
2	8	18	72
2	8	19	152
2	8	20	40
2	8	21	168
2	8	22	88
2	8	23	184
2	8	24	24
2	8	25	200
2	8	26	104
2	8	27	216
2	8	28	56
2	8	29	232
2	8	30	120

1st	2nd	3rd	LCM
1	2	8	8
2	2	8	8
2	3	8	24
2	4	8	8
2	5	8	40
2	6	8	24
2	7	8	56
2	8	8	8
2	8	9	72
2	8	10	40
2	8	11	88
2	8	12	24
2	8	13	104
2	8	14	56
2	8	15	120
2	8	16	16
2	8	17	136
2	8	18	72
2	8	19	152
2	8	20	40
2	8	21	168
2	8	22	88
2	8	23	184
2	8	24	24
2	8	25	200
2	8	26	104
2	8	27	216
2	8	28	56
2	8	29	232
2	8	30	120

1st	2nd	3rd	LCM
1	2	8	8
2	2	8	8
2	3	8	24
2	4	8	8
2	5	8	40
2	6	8	24
2	7	8	56
2	8	8	8
2	8	9	72
2	8	10	40
2	8	11	88
2	8	12	24
2	8	13	104
2	8	14	56
2	8	15	120
2	8	16	16
2	8	17	136
2	8	18	72
2	8	19	152
2	8	20	40
2	8	21	168
2	8	22	88
2	8	23	184
2	8	24	24
2	8	25	200
2	8	26	104
2	8	27	216
2	8	28	56
2	8	29	232
2	8	30	120