LCM for 9 and 24

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

Answer: LCM of 9 and 24 is 72

(Seventy-two)

Finding LCM for 9 and 24 using GCF's of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 24 is 3, so

LCM = (9 × 24) ÷ 3

LCM = 216 ÷ 3

LCM = 72

Finding LCM for 9 and 24 by Listing Multiples

The second method to find LCM for numbers 9 and 24 is to list out the common multiples for both nubmers and pick the first which matching:

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

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

So the LCM for 9 and 24 is 72

Finding LCM for 9 and 24 by Prime Factorization

Another method to find LCM for numbers 9 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

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

32 × 23 = 72

See Also

LCM Table

Number 1Number 2LCM
12424
22424
32424
42424
524
624
724168
824
924
1024120
1124
1224
1324312
1424
1524
1624
1724
1824
1924
2024
2124
2224264
2324552
242424
2524600
2624312
2724216
2824168
2924696
3024120

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

FAQ

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

LCM of 9 and 24 is 72