LCM for 7 and 8
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 7 and 8?
(Fifty-six)
Finding LCM for 7 and 8 using GCF's of these numbers
The first method to find LCM for numbers 7 and 8 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 8 is 1, so
LCM = (7 × 8) ÷ 1
LCM = 56 ÷ 1
LCM = 56
Finding LCM for 7 and 8 by Listing Multiples
The second method to find LCM for numbers 7 and 8 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
So the LCM for 7 and 8 is 56
Finding LCM for 7 and 8 by Prime Factorization
Another method to find LCM for numbers 7 and 8 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
71 × 23 = 56
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
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What's the Least Common Multiple (LCM) of 7 and 8?
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- Наименьшее общее кратное 7 и 8