LCM for 72 and 90

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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

Prime7290Highest power
223223
3323232
5—55

— = 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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LCM Table

Number 1Number 2LCM
72751,800
72761,368
72775,544
7278936
72795,688
7280720
7281648
72822,952
72835,976
7284504
72856,120
72863,096
72872,088
7288792
72896,408
7290360
72916,552
72921,656
72932,232
72943,384
72956,840
7296288
72976,984
72983,528
7299792
721001,800
721017,272
721021,224
721037,416
72104936

FAQ

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

LCM of 72 and 90 is 360

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

To find the LCM of 72 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 90: LCM = 360, GCF = 18.

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