LCM for 24 and 96

What's the Least Common Multiple (LCM) of 24 and 96?

Answer: LCM of 24 and 96 is 96

(Ninety-six)

Finding LCM for 24 and 96 using GCF's of these numbers

The first method to find LCM for numbers 24 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 96 is 24, so

LCM = (24 × 96) ÷ 24

LCM = 2304 ÷ 24

LCM = 96

Finding LCM for 24 and 96 by Listing Multiples

The second method to find LCM for numbers 24 and 96 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 24: 24, 48, 72, 96, 120, 144

Multiples of 96: 96, 192, 288, 384, 480, 576, [...], 96

So the LCM for 24 and 96 is 96

Finding LCM for 24 and 96 by Prime Factorization

Another method to find LCM for numbers 24 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

25 × 31 = 96

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 24 and 96? (The answer is: 96). Select the first number (e.g. '24') and the second number (e.g. '96'). 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
996288
1096480
11961056
129696
13961248
1496672
1596480
169696
17961632
1896288
19961824
2096480
2196672
22961056
23962208
2496
25962400
26961248
2796864
2896672
29962784
3096480
31962976
3296
33961056
34961632
35963360
3696288
37963552
38961824

FAQ

What's the Least Common Multiple (LCM) of 24 and 96?

LCM of 24 and 96 is 96