LCM for 8 and 14
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 8 and 14?
(Fifty-six)
Finding LCM for 8 and 14 using GCF's of these numbers
The first method to find LCM for numbers 8 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 14 is 2, so
LCM = (8 × 14) ÷ 2
LCM = 112 ÷ 2
LCM = 56
Finding LCM for 8 and 14 by Listing Multiples
The second method to find LCM for numbers 8 and 14 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 14: 14, 28, 42, 56, 70, 84
So the LCM for 8 and 14 is 56
Finding LCM for 8 and 14 by Prime Factorization
Another method to find LCM for numbers 8 and 14 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 14: 2, 7 (exponent form: 21, 71)
23 × 71 = 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
FAQ
What's the Least Common Multiple (LCM) of 8 and 14?
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- Наименьшее общее кратное 8 и 14