LCM for 5 and 12
What's the Least Common Multiple (LCM) of 5 and 12?
(Sixty)
Finding LCM for 5 and 12 using GCF's of these numbers
The first method to find LCM for numbers 5 and 12 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 12 is 1, so
LCM = (5 × 12) ÷ 1
LCM = 60 ÷ 1
LCM = 60
Finding LCM for 5 and 12 by Listing Multiples
The second method to find LCM for numbers 5 and 12 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
Multiples of 12: 12, 24, 36, 48, 60, 72, 84
So the LCM for 5 and 12 is 60
Finding LCM for 5 and 12 by Prime Factorization
Another method to find LCM for numbers 5 and 12 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 12: 2, 2, 3 (exponent form: 22, 31)
51 × 22 × 31 = 60
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--12">What is the LCM of 5 and 12? - 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