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

(Three hundred sixty)

Finding LCM for 72 and 90 using GCF of these numbers

The first method to find LCM for numbers 72 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 90 is 18, so

LCM = (72 × 90) ÷ 18

LCM = 6,480 ÷ 18

LCM = 360

Finding LCM for 72 and 90 by Listing Multiples

The second method to find LCM for numbers 72 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504

Multiples of 90: 90, 180, 270, 360, 450, 540

So the LCM for 72 and 90 is 360

Finding LCM for 72 and 90 by Prime Factorization

Another method to find LCM for numbers 72 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

23 × 32 × 51 = 360

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 72 and 90? (The answer is: 360). Select the first number (e.g. '72') and the second number (e.g. '90'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

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.

See Also