LCM for 72 and 36

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 36?

Answer

LCM of 72 and 36 is

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of y/36 by 2.

36 divides 72 (72 ÷ 36 = 2), so the LCM is the larger number itself.

72 = 2³ × 3²

36 = 2² × 3²

Prime	72	36	Highest power
2	2³	2²	2³
3	3²	3²	3²

LCM = 2³ × 3² = 72

More with these numbers

LCM Table

Number 1	Number 2	LCM
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
72	42	504
72	43	3,096
72	44	792
72	45	360
72	46	1,656
72	47	3,384
72	48	144
72	49	3,528
72	50	1,800

FAQ

What's the Least Common Multiple (LCM) of 72 and 36?

LCM of 72 and 36 is 72

How to find the LCM of 72 and 36 using prime factorization?

To find the LCM of 72 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 36: LCM = 72, GCF = 36.

LCM for 72 and 36

What's the Least Common Multiple (LCM) of 72 and 36?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 36?

How to find the LCM of 72 and 36 using prime factorization?

What is the difference between LCM and GCF?

See Also