LCM for 2, 7 and 12

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 7 and 12?

Answer

LCM of 2, 7 and 12 is

First common multiples: 84, 168, 252, …

84 is divisible by all three: 84 ÷ 2 = 42, 84 ÷ 7 = 12, 84 ÷ 12 = 7 — and 42, 12 and 7 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 42 and of y/7 by 12 and of z/12 by 7.

2 — prime

7 — prime

12 = 2² × 3

Prime	2	7	12	Highest power
2	2	—	2²	2²
3	—	—	3	3
7	—	7	—	7

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

LCM = 2² × 3 × 7 = 84

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	7	14
2	2	7	14
2	3	7	42
2	4	7	28
2	5	7	70
2	6	7	42
2	7	7	14
2	7	8	56
2	7	9	126
2	7	10	70
2	7	11	154
2	7	12	84
2	7	13	182
2	7	14	14
2	7	15	210
2	7	16	112
2	7	17	238
2	7	18	126
2	7	19	266
2	7	20	140
2	7	21	42
2	7	22	154
2	7	23	322
2	7	24	168
2	7	25	350
2	7	26	182
2	7	27	378
2	7	28	28
2	7	29	406
2	7	30	210

FAQ

What's the Least Common Multiple (LCM) of 2, 7 and 12?

LCM of 2, 7 and 12 is 84

How to find the LCM of 2, 7 and 12 by prime factorization?

Take every prime that appears in 2, 7 and 12 to the highest power it reaches in any one of them and multiply: 2² × 3 × 7 = 84.

Can you get the LCM of 2, 7 and 12 two numbers at a time?

Yes. The LCM of 2 and 7 is 14, and the LCM of 14 and 12 is 84 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 84 divisible by 2, 7 and 12?

Yes, and by definition it is the smallest positive integer that is: 84 ÷ 2, 84 ÷ 7 and 84 ÷ 12 all come out whole. Any other common multiple of 2, 7 and 12 is a multiple of 84.

LCM for 2, 7 and 12

What's the Least Common Multiple (LCM) of 2, 7 and 12?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 7 and 12?

How to find the LCM of 2, 7 and 12 by prime factorization?

Can you get the LCM of 2, 7 and 12 two numbers at a time?

Is 84 divisible by 2, 7 and 12?

See Also

1st	2nd	3rd	LCM
1	2	7	14
2	2	7	14
2	3	7	42
2	4	7	28
2	5	7	70
2	6	7	42
2	7	7	14
2	7	8	56
2	7	9	126
2	7	10	70
2	7	11	154
2	7	12	84
2	7	13	182
2	7	14	14
2	7	15	210
2	7	16	112
2	7	17	238
2	7	18	126
2	7	19	266
2	7	20	140
2	7	21	42
2	7	22	154
2	7	23	322
2	7	24	168
2	7	25	350
2	7	26	182
2	7	27	378
2	7	28	28
2	7	29	406
2	7	30	210

1st	2nd	3rd	LCM
1	2	7	14
2	2	7	14
2	3	7	42
2	4	7	28
2	5	7	70
2	6	7	42
2	7	7	14
2	7	8	56
2	7	9	126
2	7	10	70
2	7	11	154
2	7	12	84
2	7	13	182
2	7	14	14
2	7	15	210
2	7	16	112
2	7	17	238
2	7	18	126
2	7	19	266
2	7	20	140
2	7	21	42
2	7	22	154
2	7	23	322
2	7	24	168
2	7	25	350
2	7	26	182
2	7	27	378
2	7	28	28
2	7	29	406
2	7	30	210

1st	2nd	3rd	LCM
1	2	7	14
2	2	7	14
2	3	7	42
2	4	7	28
2	5	7	70
2	6	7	42
2	7	7	14
2	7	8	56
2	7	9	126
2	7	10	70
2	7	11	154
2	7	12	84
2	7	13	182
2	7	14	14
2	7	15	210
2	7	16	112
2	7	17	238
2	7	18	126
2	7	19	266
2	7	20	140
2	7	21	42
2	7	22	154
2	7	23	322
2	7	24	168
2	7	25	350
2	7	26	182
2	7	27	378
2	7	28	28
2	7	29	406
2	7	30	210