LCM for 81 and 108

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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 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 = 8,748 ÷ 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 numbers and pick the first one that matches:

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

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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 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
81932,511
81947,614
81957,695
81962,592
81977,857
81987,938
8199891
811008,100
811018,181
811022,754
811038,343
811048,424
811052,835
811068,586
811078,667
81108324
811098,829
811108,910
811112,997
811129,072
811139,153
811143,078
811159,315
811169,396
811171,053
811189,558
811199,639
811203,240
811219,801
811229,882

FAQ

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

LCM of 81 and 108 is 324

How to find the LCM of 81 and 108 using prime factorization?

To find the LCM of 81 and 108, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 324.

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 81 and 108: LCM = 324, GCF = 27.

See Also