What is the LCM of 28 and 72?

What's the Least Common Multiple (LCM) of 28 and 72?

Answer

LCM of 28 and 72 is

504

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 28 = 18, 504 ÷ 72 = 7 — and 18 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 18 and of y/72 by 7.

28 = 2² × 7

72 = 2³ × 3²

Prime	28	72	Highest power
2	2²	2³	2³
3	—	3²	3²
7	7	—	7

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

LCM = 2³ × 3² × 7 = 504

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What is the LCM of 28 and 72? The LCM of 28 and 72 is 504 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/28--72/generated.jpg

LCM Table

Number 1	Number 2	LCM
28	32	224
28	34	476
28	35	140
28	36	252
28	38	532
28	40	280
28	41	1,148
28	42	84
28	43	1,204
28	45	1,260
28	46	644
28	48	336
28	49	196
28	50	700
28	51	1,428
28	52	364
28	54	756
28	56	56
28	57	1,596
28	58	812
28	59	1,652
28	60	420
28	63	252
28	64	448
28	70	140
28	72	504
28	80	560
28	84	84
28	105	420
28	126	252

LCM for 28 and 72

What's the Least Common Multiple (LCM) of 28 and 72?

More with these numbers

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 28 and 72?

How to find the LCM of 28 and 72 using prime factorization?

What is the difference between LCM and GCF?

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