LCM for 6, 18 and 24

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 6, 18 and 24?

Answer

LCM of 6, 18 and 24 is

First common multiples: 72, 144, 216, …

72 is divisible by all three: 72 ÷ 6 = 12, 72 ÷ 18 = 4, 72 ÷ 24 = 3 — and 12, 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/6 by 12 and of y/18 by 4 and of z/24 by 3.

6 = 2 × 3

18 = 2 × 3²

24 = 2³ × 3

Prime	6	18	24	Highest power
2	2	2	2³	2³
3	3	3²	3	3²

LCM = 2³ × 3² = 72

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306
6	18	35	630
6	18	36	36
6	18	37	666
6	18	38	342

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 24?

LCM of 6, 18 and 24 is 72

How to find the LCM of 6, 18 and 24 by prime factorization?

Take every prime that appears in 6, 18 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3² = 72.

Can you get the LCM of 6, 18 and 24 two numbers at a time?

Yes. The LCM of 6 and 18 is 18, and the LCM of 18 and 24 is 72 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 72 divisible by 6, 18 and 24?

Yes, and by definition it is the smallest positive integer that is: 72 ÷ 6, 72 ÷ 18 and 72 ÷ 24 all come out whole. Any other common multiple of 6, 18 and 24 is a multiple of 72.

LCM for 6, 18 and 24

What's the Least Common Multiple (LCM) of 6, 18 and 24?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 24?

How to find the LCM of 6, 18 and 24 by prime factorization?

Can you get the LCM of 6, 18 and 24 two numbers at a time?

Is 72 divisible by 6, 18 and 24?

See Also

1st	2nd	3rd	LCM
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306
6	18	35	630
6	18	36	36
6	18	37	666
6	18	38	342

1st	2nd	3rd	LCM
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306
6	18	35	630
6	18	36	36
6	18	37	666
6	18	38	342

1st	2nd	3rd	LCM
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306
6	18	35	630
6	18	36	36
6	18	37	666
6	18	38	342