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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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

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LCM Table

Number 1 Number 2 LCM
9 9 9
10 9 90
11 9 99
12 9 36
13 9 117
14 9 126
15 9 45
16 9 144
17 9 153
18 9 18
19 9 171
20 9 180
21 9 63
22 9 198
23 9 207
24 9 72
25 9 225
26 9 234
27 9 27
28 9 252
29 9 261
30 9 90
31 9 279
32 9 288
33 9 99
34 9 306
35 9 315
36 9 36
37 9 333
38 9 342

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.

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