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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?. The LCM of 24 and 9 is 72 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
24972
241648
241872
2425600
2427216
2428168
2430120
2431744
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
2451408
24531272
2454216
24551320
2456168
2457456
2460120

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.