LCM for 13 and 8
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 13 and 8?
Answer
(One hundred four)
Finding LCM for 13 and 8 using GCF of these numbers
The first method to find LCM for numbers 13 and 8 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 13 and 8 is 1, so
LCM = (13 × 8) ÷ 1
LCM = 104 ÷ 1
LCM = 104
Finding LCM for 13 and 8 by Listing Multiples
The second method to find LCM for numbers 13 and 8 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
So the LCM for 13 and 8 is 104
Finding LCM for 13 and 8 by Prime Factorization
Another method to find LCM for numbers 13 and 8 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 8: 2, 2, 2 (exponent form: 23)
131 × 23 = 104
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 13 and 8?
How to find the LCM of 13 and 8 using prime factorization?
What is the difference between LCM and GCF?
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