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LCM for 1, 2 and 3

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 1, 2 and 3?

Answer

LCM of 1, 2 and 3 is

6

First common multiples: 6, 12, 18, …

1 does not change the LCM of the other numbers: LCM(2, 3) = 6, and with 1 it stays 6.

1 — no prime factors

2 — prime

3 — prime

Prime	1	2	3	Highest power
2	—	2	—	2
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 = 2 × 3 = 6

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See Also

Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

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What is the LCM of 1, 2 and 3? The LCM of 1, 2 and 3 is 6 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.

https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/1--2--3/generated.jpg

LCM Table

1st	2nd	3rd	LCM
1	1	2	2
1	2	2	2
1	2	3	6
1	2	4	4
1	2	5	10
1	2	6	6
1	2	7	14
1	2	8	8
1	2	9	18
1	2	10	10
1	2	11	22
1	2	12	12
1	2	13	26
1	2	14	14
1	2	15	30
1	2	16	16
1	2	17	34
1	2	18	18
1	2	19	38
1	2	20	20
1	2	21	42
1	2	22	22
1	2	23	46
1	2	24	24
1	2	25	50
1	2	26	26
1	2	27	54
1	2	28	28
1	2	29	58
1	2	30	30

FAQ

What's the Least Common Multiple (LCM) of 1, 2 and 3?

LCM of 1, 2 and 3 is 6

How to find the LCM of 1, 2 and 3 by prime factorization?

Take every prime that appears in 1, 2 and 3 to the highest power it reaches in any one of them and multiply: 2 × 3 = 6.

Can you get the LCM of 1, 2 and 3 two numbers at a time?

Yes. The LCM of 1 and 2 is 2, and the LCM of 2 and 3 is 6 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 6 divisible by 1, 2 and 3?

Yes, and by definition it is the smallest positive integer that is: 6 ÷ 1, 6 ÷ 2 and 6 ÷ 3 all come out whole. Any other common multiple of 1, 2 and 3 is a multiple of 6.

See Also