LCM for 5 and 60
What's the Least Common Multiple (LCM) of 5 and 60?
(Sixty)
Finding LCM for 5 and 60 using GCF's of these numbers
The first method to find LCM for numbers 5 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 60 is 5, so
LCM = (5 × 60) ÷ 5
LCM = 300 ÷ 5
LCM = 60
Finding LCM for 5 and 60 by Listing Multiples
The second method to find LCM for numbers 5 and 60 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 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, [...], 60
So the LCM for 5 and 60 is 60
Finding LCM for 5 and 60 by Prime Factorization
Another method to find LCM for numbers 5 and 60 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 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
51 × 22 × 31 = 60
Related Calculations
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