LCM for 8 and 26
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 8 and 26?
Answer
(One hundred four)
Finding LCM for 8 and 26 using GCF of these numbers
The first method to find LCM for numbers 8 and 26 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 26 is 2, so
LCM = (8 × 26) ÷ 2
LCM = 208 ÷ 2
LCM = 104
Finding LCM for 8 and 26 by Listing Multiples
The second method to find LCM for numbers 8 and 26 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
Multiples of 26: 26, 52, 78, 104, 130, 156
So the LCM for 8 and 26 is 104
Finding LCM for 8 and 26 by Prime Factorization
Another method to find LCM for numbers 8 and 26 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
All Prime Factors of 26: 2, 13 (exponent form: 21, 131)
23 × 131 = 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 8 and 26?
How to find the LCM of 8 and 26 using prime factorization?
What is the difference between LCM and GCF?
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