LCM for 72 and 27

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 27?

Answer

LCM of 72 and 27 is

216

First common multiples: 216, 432, 648, …

216 is divisible by both: 216 ÷ 72 = 3, 216 ÷ 27 = 8 — and 3 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 3 and of y/27 by 8.

72 = 2³ × 3²

27 = 3³

Prime	72	27	Highest power
2	2³	—	2³
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 = 2³ × 3³ = 216

More with these numbers

LCM Table

Number 1	Number 2	LCM
72	12	72
72	13	936
72	14	504
72	15	360
72	16	144
72	17	1,224
72	18	72
72	19	1,368
72	20	360
72	21	504
72	22	792
72	23	1,656
72	24	72
72	25	1,800
72	26	936
72	27	216
72	28	504
72	29	2,088
72	30	360
72	31	2,232
72	32	288
72	33	792
72	34	1,224
72	35	2,520
72	36	72
72	37	2,664
72	38	1,368
72	39	936
72	40	360
72	41	2,952

FAQ

What's the Least Common Multiple (LCM) of 72 and 27?

LCM of 72 and 27 is 216

How to find the LCM of 72 and 27 using prime factorization?

To find the LCM of 72 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 72 and 27: LCM = 216, GCF = 9.

LCM for 72 and 27

What's the Least Common Multiple (LCM) of 72 and 27?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 27?

How to find the LCM of 72 and 27 using prime factorization?

What is the difference between LCM and GCF?

See Also