What is the LCM of 2, 12 and 16?

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

Answer

LCM of 2, 12 and 16 is

48

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

More with these numbers

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

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