LCM for 13 and 15
What's the Least Common Multiple (LCM) of 13 and 15?
(One hundred ninety-five)
Finding LCM for 13 and 15 using GCF's of these numbers
The first method to find LCM for numbers 13 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 15 is 1, so
LCM = (13 × 15) ÷ 1
LCM = 195 ÷ 1
LCM = 195
Finding LCM for 13 and 15 by Listing Multiples
The second method to find LCM for numbers 13 and 15 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225
So the LCM for 13 and 15 is 195
Finding LCM for 13 and 15 by Prime Factorization
Another method to find LCM for numbers 13 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 13: 13 (exponent form: 131)
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
131 × 31 × 51 = 195
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/13--15">What is the LCM of 13 and 15? - 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