LCM for 60 and 135
What's the Least Common Multiple (LCM) of 60 and 135?
(Five hundred forty)
Finding LCM for 60 and 135 using GCF's of these numbers
The first method to find LCM for numbers 60 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 135 is 15, so
LCM = (60 × 135) ÷ 15
LCM = 8100 ÷ 15
LCM = 540
Finding LCM for 60 and 135 by Listing Multiples
The second method to find LCM for numbers 60 and 135 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660
Multiples of 135: 135, 270, 405, 540, 675, 810
So the LCM for 60 and 135 is 540
Finding LCM for 60 and 135 by Prime Factorization
Another method to find LCM for numbers 60 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)
22 × 33 × 51 = 540
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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