LCM for 108 and 144

What's the Least Common Multiple (LCM) of 108 and 144?

Answer: LCM of 108 and 144 is 432

(Four hundred thirty-two)

Finding LCM for 108 and 144 using GCF's of these numbers

The first method to find LCM for numbers 108 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 144 is 36, so

LCM = (108 × 144) ÷ 36

LCM = 15552 ÷ 36

LCM = 432

Finding LCM for 108 and 144 by Listing Multiples

The second method to find LCM for numbers 108 and 144 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 108: 108, 216, 324, 432, 540, 648

Multiples of 144: 144, 288, 432, 576, 720

So the LCM for 108 and 144 is 432

Finding LCM for 108 and 144 by Prime Factorization

Another method to find LCM for numbers 108 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

24 × 33 = 432

Related Calculations

LCM Table

Number 1Number 2LCM
931444464
941446768
9514413680
96144288
9714413968
981447056
991441584
1001443600
10114414544
1021442448
10314414832
1041441872
1051445040
1061447632
10714415408
108144432
10914415696
1101447920
1111445328
1121441008
11314416272
1141442736
11514416560
1161444176
1171441872
1181448496
11914417136
120144
12114417424
1221448784

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 108 and 144? (The answer is: 432). Select the first number (e.g. '108') and the second number (e.g. '144'). 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

FAQ

What's the Least Common Multiple (LCM) of 108 and 144?

LCM of 108 and 144 is 432