LCM for 13 and 6
What's the Least Common Multiple (LCM) of 13 and 6?
(Seventy-eight)
Finding LCM for 13 and 6 using GCF's of these numbers
The first method to find LCM for numbers 13 and 6 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 6 is 1, so
LCM = (13 × 6) ÷ 1
LCM = 78 ÷ 1
LCM = 78
Finding LCM for 13 and 6 by Listing Multiples
The second method to find LCM for numbers 13 and 6 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
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90
So the LCM for 13 and 6 is 78
Finding LCM for 13 and 6 by Prime Factorization
Another method to find LCM for numbers 13 and 6 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 6: 2, 3 (exponent form: 21, 31)
131 × 21 × 31 = 78
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--6">What is the LCM of 13 and 6? - 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