LCM for 6 and 13
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 6 and 13?
(Seventy-eight)
Finding LCM for 6 and 13 using GCF's of these numbers
The first method to find LCM for numbers 6 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 13 is 1, so
LCM = (6 × 13) ÷ 1
LCM = 78 ÷ 1
LCM = 78
Finding LCM for 6 and 13 by Listing Multiples
The second method to find LCM for numbers 6 and 13 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104
So the LCM for 6 and 13 is 78
Finding LCM for 6 and 13 by Prime Factorization
Another method to find LCM for numbers 6 and 13 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 13: 13 (exponent form: 131)
21 × 31 × 131 = 78
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 6 and 13?
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- Наименьшее общее кратное 6 и 13