LCM for 2, 4 and 12

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 4 and 12?

Answer

LCM of 2, 4 and 12 is

First common multiples: 12, 24, 36, …

12 is divisible by all three: 12 ÷ 2 = 6, 12 ÷ 4 = 3, 12 ÷ 12 = 1 — and 6, 3 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 6 and of y/4 by 3.

2 — prime

4 = 2²

12 = 2² × 3

Prime	2	4	12	Highest power
2	2	2²	2²	2²
3	—	—	3	3

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

LCM = 2² × 3 = 12

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Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

FAQ

What's the Least Common Multiple (LCM) of 2, 4 and 12?

LCM of 2, 4 and 12 is 12

How to find the LCM of 2, 4 and 12 by prime factorization?

Take every prime that appears in 2, 4 and 12 to the highest power it reaches in any one of them and multiply: 2² × 3 = 12.

Can you get the LCM of 2, 4 and 12 two numbers at a time?

Yes. The LCM of 2 and 4 is 4, and the LCM of 4 and 12 is 12 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 12 divisible by 2, 4 and 12?

Yes, and by definition it is the smallest positive integer that is: 12 ÷ 2, 12 ÷ 4 and 12 ÷ 12 all come out whole. Any other common multiple of 2, 4 and 12 is a multiple of 12.

LCM for 2, 4 and 12

What's the Least Common Multiple (LCM) of 2, 4 and 12?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 4 and 12?

How to find the LCM of 2, 4 and 12 by prime factorization?

Can you get the LCM of 2, 4 and 12 two numbers at a time?

Is 12 divisible by 2, 4 and 12?

See Also

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60