What is the LCM of 72 and 90?

What's the Least Common Multiple (LCM) of 72 and 90?

Answer

LCM of 72 and 90 is

360

First common multiples: 360; 720; 1,080; …

360 is divisible by both: 360 ÷ 72 = 5, 360 ÷ 90 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 5 and of y/90 by 4.

72 = 2³ × 3²

90 = 2 × 3² × 5

Prime	72	90	Highest power
2	2³	2	2³
3	3²	3²	3²
5	—	5	5

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

LCM = 2³ × 3² × 5 = 360

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What is the LCM of 72 and 90? The LCM of 72 and 90 is 360 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/72--90/generated.jpg

LCM Table

Number 1	Number 2	LCM
72	75	1,800
72	76	1,368
72	77	5,544
72	78	936
72	79	5,688
72	80	720
72	81	648
72	82	2,952
72	83	5,976
72	84	504
72	85	6,120
72	86	3,096
72	87	2,088
72	88	792
72	89	6,408
72	90	360
72	91	6,552
72	92	1,656
72	93	2,232
72	94	3,384
72	95	6,840
72	96	288
72	97	6,984
72	98	3,528
72	99	792
72	100	1,800
72	101	7,272
72	102	1,224
72	103	7,416
72	104	936

LCM for 72 and 90

What's the Least Common Multiple (LCM) of 72 and 90?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 72 and 90?

How to find the LCM of 72 and 90 using prime factorization?

What is the difference between LCM and GCF?

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