LCM for 108 and 144

"Least Common Multiple" Calculator
Least Common Multiple of
and

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 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 = 15,552 ÷ 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 numbers and pick the first one that matches:

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

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 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
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
1081294,644
1081307,020
10813114,148
1081321,188
10813314,364
1081347,236
108135540
1081363,672
10813714,796
1081382,484
10813915,012
1081403,780
1081415,076
1081427,668
10814315,444
108144432
10814515,660
1081467,884
1081475,292
1081483,996
10814916,092
1081502,700
10815116,308
1081524,104
1081531,836
1081548,316
10815516,740
1081561,404
10815716,956
1081588,532

FAQ

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

LCM of 108 and 144 is 432

How to find the LCM of 108 and 144 using prime factorization?

To find the LCM of 108 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 432.

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 108 and 144: LCM = 432, GCF = 36.

See Also