LCM for 5 and 24
What's the Least Common Multiple (LCM) of 5 and 24?
Answer
(One hundred twenty)
Finding LCM for 5 and 24 using GCF of these numbers
The first method to find LCM for numbers 5 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 24 is 1, so
LCM = (5 × 24) ÷ 1
LCM = 120 ÷ 1
LCM = 120
Finding LCM for 5 and 24 by Listing Multiples
The second method to find LCM for numbers 5 and 24 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130
Multiples of 24: 24, 48, 72, 96, 120, 144, 168
So the LCM for 5 and 24 is 120
Finding LCM for 5 and 24 by Prime Factorization
Another method to find LCM for numbers 5 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 5: 5 (exponent form: 51)
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
51 × 23 × 31 = 120
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/5--24">What is the LCM of 5 and 24? - 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