LCM for 6, 18 and 27

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 6, 18 and 27?

Answer

LCM of 6, 18 and 27 is

First common multiples: 54, 108, 162, …

54 is divisible by all three: 54 ÷ 6 = 9, 54 ÷ 18 = 3, 54 ÷ 27 = 2 — and 9, 3 and 2 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 9 and of y/18 by 3 and of z/27 by 2.

6 = 2 × 3

18 = 2 × 3²

27 = 3³

Prime	6	18	27	Highest power
2	2	2	—	2
3	3	3²	3³	3³

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

LCM = 2 × 3³ = 54

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
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
6	18	39	234
6	18	40	360
6	18	41	738

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 27?

LCM of 6, 18 and 27 is 54

How to find the LCM of 6, 18 and 27 by prime factorization?

Take every prime that appears in 6, 18 and 27 to the highest power it reaches in any one of them and multiply: 2 × 3³ = 54.

Can you get the LCM of 6, 18 and 27 two numbers at a time?

Yes. The LCM of 6 and 18 is 18, and the LCM of 18 and 27 is 54 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 54 divisible by 6, 18 and 27?

Yes, and by definition it is the smallest positive integer that is: 54 ÷ 6, 54 ÷ 18 and 54 ÷ 27 all come out whole. Any other common multiple of 6, 18 and 27 is a multiple of 54.

LCM for 6, 18 and 27

What's the Least Common Multiple (LCM) of 6, 18 and 27?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 27?

How to find the LCM of 6, 18 and 27 by prime factorization?

Can you get the LCM of 6, 18 and 27 two numbers at a time?

Is 54 divisible by 6, 18 and 27?

See Also

1st	2nd	3rd	LCM
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
6	18	39	234
6	18	40	360
6	18	41	738

1st	2nd	3rd	LCM
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
6	18	39	234
6	18	40	360
6	18	41	738

1st	2nd	3rd	LCM
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
6	18	39	234
6	18	40	360
6	18	41	738