LCM for 72 and 108

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 108?

Answer: LCM of 72 and 108 is 216

(Two hundred sixteen)

Finding LCM for 72 and 108 using GCF's of these numbers

The first method to find LCM for numbers 72 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 108 is 36, so

LCM = (72 × 108) ÷ 36

LCM = 7776 ÷ 36

LCM = 216

Finding LCM for 72 and 108 by Listing Multiples

The second method to find LCM for numbers 72 and 108 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 108: 108, 216, 324, 432

So the LCM for 72 and 108 is 216

Finding LCM for 72 and 108 by Prime Factorization

Another method to find LCM for numbers 72 and 108 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 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

23 × 33 = 216

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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 108? (The answer is: 216). Select the first number (e.g. '72') and the second number (e.g. '108'). 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
571082052
581083132
591086372
60108540
611086588
621083348
63108756
641081728
651087020
661081188
671087236
681081836
691082484
701083780
711087668
72108216
731087884
741083996
751082700
761082052
771088316
781081404
791088532
801082160
81108324
821084428
831088964
84108756
851089180
861084644

FAQ

What's the Least Common Multiple (LCM) of 72 and 108?

LCM of 72 and 108 is 216

See Also