LCM for 81 and 108

What's the Least Common Multiple (LCM) of 81 and 108?

Answer: LCM of 81 and 108 is 324

(Three hundred twenty-four)

Finding LCM for 81 and 108 using GCF's of these numbers

The first method to find LCM for numbers 81 and 108 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 81 and 108 is 27, so

LCM = (81 × 108) ÷ 27

LCM = 8748 ÷ 27

LCM = 324

Finding LCM for 81 and 108 by Listing Multiples

The second method to find LCM for numbers 81 and 108 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 81: 81, 162, 243, 324, 405, 486

Multiples of 108: 108, 216, 324, 432, 540

So the LCM for 81 and 108 is 324

Finding LCM for 81 and 108 by Prime Factorization

Another method to find LCM for numbers 81 and 108 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 81: 3, 3, 3, 3 (exponent form: 34)

All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

34 × 22 = 324

Related Calculations

See Also

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 81 and 108? (The answer is: 324). Select the first number (e.g. '81') 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

LCM Table

Number 1Number 2LCM
661081188
671087236
681081836
691082484
701083780
711087668
72108
731087884
741083996
751082700
761082052
771088316
781081404
791088532
801082160
81108
821084428
831088964
84108756
851089180
861084644
871083132
881082376
891089612
90108540
911089828
921082484
931083348
941085076
9510810260

FAQ

What's the Least Common Multiple (LCM) of 81 and 108?

LCM of 81 and 108 is 324