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LCM for 24 and 9

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 9?

Answer

LCM of 24 and 9 is 72

(Seventy-two)

Finding LCM for 24 and 9 using GCF of these numbers

The first method to find LCM for numbers 24 and 9 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 9 is 3, so

LCM = (24 × 9) ÷ 3

LCM = 216 ÷ 3

LCM = 72

Finding LCM for 24 and 9 by Listing Multiples

The second method to find LCM for numbers 24 and 9 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

So the LCM for 24 and 9 is 72

Finding LCM for 24 and 9 by Prime Factorization

Another method to find LCM for numbers 24 and 9 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 9: 3, 3 (exponent form: 32)

23 × 32 = 72

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What is the LCM of 24 and 9?. Find the LCM of 24 and 9 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
999
10990
11999
12936
139117
149126
15945
169144
179153
18918
199171
209180
21963
229198
239207
24972
259225
269234
27927
289252
299261
30990
319279
329288
33999
349306
359315
36936
379333
389342

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 9? (The answer is: 72). Select the first number (e.g. '24') and the second number (e.g. '9'). 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

FAQ

What's the Least Common Multiple (LCM) of 24 and 9?

LCM of 24 and 9 is 72

How to find the LCM of 24 and 9 using prime factorization?

To find the LCM of 24 and 9, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 24 and 9: LCM = 72, GCF = 3.

See Also