LCM for 2, 12 and 16

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 12 and 16?

Answer

LCM of 2, 12 and 16 is

First common multiples: 48, 96, 144, …

48 is divisible by all three: 48 ÷ 2 = 24, 48 ÷ 12 = 4, 48 ÷ 16 = 3 — and 24, 4 and 3 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 24 and of y/12 by 4 and of z/16 by 3.

2 — prime

12 = 2² × 3

16 = 2⁴

Prime	2	12	16	Highest power
2	2	2²	2⁴	2⁴
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 = 2⁴ × 3 = 48

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Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	12	12
2	2	12	12
2	3	12	12
2	4	12	12
2	5	12	60
2	6	12	12
2	7	12	84
2	8	12	24
2	9	12	36
2	10	12	60
2	11	12	132
2	12	12	12
2	12	13	156
2	12	14	84
2	12	15	60
2	12	16	48
2	12	17	204
2	12	18	36
2	12	19	228
2	12	20	60
2	12	21	84
2	12	22	132
2	12	23	276
2	12	24	24
2	12	25	300
2	12	26	156
2	12	27	108
2	12	28	84
2	12	29	348
2	12	30	60

FAQ

What's the Least Common Multiple (LCM) of 2, 12 and 16?

LCM of 2, 12 and 16 is 48

How to find the LCM of 2, 12 and 16 by prime factorization?

Take every prime that appears in 2, 12 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 = 48.

Can you get the LCM of 2, 12 and 16 two numbers at a time?

Yes. The LCM of 2 and 12 is 12, and the LCM of 12 and 16 is 48 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 48 divisible by 2, 12 and 16?

Yes, and by definition it is the smallest positive integer that is: 48 ÷ 2, 48 ÷ 12 and 48 ÷ 16 all come out whole. Any other common multiple of 2, 12 and 16 is a multiple of 48.

LCM for 2, 12 and 16

What's the Least Common Multiple (LCM) of 2, 12 and 16?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 12 and 16?

How to find the LCM of 2, 12 and 16 by prime factorization?

Can you get the LCM of 2, 12 and 16 two numbers at a time?

Is 48 divisible by 2, 12 and 16?

See Also

1st	2nd	3rd	LCM
1	2	12	12
2	2	12	12
2	3	12	12
2	4	12	12
2	5	12	60
2	6	12	12
2	7	12	84
2	8	12	24
2	9	12	36
2	10	12	60
2	11	12	132
2	12	12	12
2	12	13	156
2	12	14	84
2	12	15	60
2	12	16	48
2	12	17	204
2	12	18	36
2	12	19	228
2	12	20	60
2	12	21	84
2	12	22	132
2	12	23	276
2	12	24	24
2	12	25	300
2	12	26	156
2	12	27	108
2	12	28	84
2	12	29	348
2	12	30	60

1st	2nd	3rd	LCM
1	2	12	12
2	2	12	12
2	3	12	12
2	4	12	12
2	5	12	60
2	6	12	12
2	7	12	84
2	8	12	24
2	9	12	36
2	10	12	60
2	11	12	132
2	12	12	12
2	12	13	156
2	12	14	84
2	12	15	60
2	12	16	48
2	12	17	204
2	12	18	36
2	12	19	228
2	12	20	60
2	12	21	84
2	12	22	132
2	12	23	276
2	12	24	24
2	12	25	300
2	12	26	156
2	12	27	108
2	12	28	84
2	12	29	348
2	12	30	60

1st	2nd	3rd	LCM
1	2	12	12
2	2	12	12
2	3	12	12
2	4	12	12
2	5	12	60
2	6	12	12
2	7	12	84
2	8	12	24
2	9	12	36
2	10	12	60
2	11	12	132
2	12	12	12
2	12	13	156
2	12	14	84
2	12	15	60
2	12	16	48
2	12	17	204
2	12	18	36
2	12	19	228
2	12	20	60
2	12	21	84
2	12	22	132
2	12	23	276
2	12	24	24
2	12	25	300
2	12	26	156
2	12	27	108
2	12	28	84
2	12	29	348
2	12	30	60