LCM for 14 and 21
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 14 and 21?
Answer: LCM of 14 and 21 is 42
(Forty-two)
Finding LCM for 14 and 21 using GCF's of these numbers
The first method to find LCM for numbers 14 and 21 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 21 is 7, so
LCM = (14 × 21) ÷ 7
LCM = 294 ÷ 7
LCM = 42
Finding LCM for 14 and 21 by Listing Multiples
The second method to find LCM for numbers 14 and 21 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 14: 14, 28, 42, 56, 70
Multiples of 21: 21, 42, 63, 84
So the LCM for 14 and 21 is 42
Finding LCM for 14 and 21 by Prime Factorization
Another method to find LCM for numbers 14 and 21 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 21: 3, 7 (exponent form: 31, 71)
21 × 71 × 31 = 42
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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About "Least Common Multiple" Calculator
This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 14 and 21? (The answer is: 42). Select the first number (e.g. '14') and the second number (e.g. '21'). After that hit the 'Calculate' button.
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