LCM for 24 and 9
What's the Least Common Multiple (LCM) of 24 and 9?
(Seventy-two)
Finding LCM for 24 and 9 using GCF's 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 nubmers and pick the first which matching:
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
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/24--9">What is the LCM of 24 and 9? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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