LCM for 108 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 108 and 24?

Answer: LCM of 108 and 24 is 216

(Two hundred sixteen)

Finding LCM for 108 and 24 using GCF's of these numbers

The first method to find LCM for numbers 108 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 108 and 24 is 12, so

LCM = (108 × 24) ÷ 12

LCM = 2592 ÷ 12

LCM = 216

Finding LCM for 108 and 24 by Listing Multiples

The second method to find LCM for numbers 108 and 24 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 108: 108, 216, 324, 432

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264

So the LCM for 108 and 24 is 216

Finding LCM for 108 and 24 by Prime Factorization

Another method to find LCM for numbers 108 and 24 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 24: 2, 2, 2, 3 (exponent form: 23, 31)

23 × 33 = 216

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 24? (The answer is: 216). Select the first number (e.g. '108') and the second number (e.g. '24'). 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
9324744
94241128
95242280
962496
97242328
98241176
9924792
10024600
101242424
10224408
103242472
10424312
10524840
106241272
107242568
10824216
109242616
110241320
11124888
11224336
113242712
11424456
115242760
11624696
11724936
118241416
119242856
12024120
121242904
122241464

FAQ

What's the Least Common Multiple (LCM) of 108 and 24?

LCM of 108 and 24 is 216

See Also