LCM for 4 and 14
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 4 and 14?
Answer
(Twenty-eight)
Finding LCM for 4 and 14 using GCF of these numbers
The first method to find LCM for numbers 4 and 14 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 14 is 2, so
LCM = (4 × 14) ÷ 2
LCM = 56 ÷ 2
LCM = 28
Finding LCM for 4 and 14 by Listing Multiples
The second method to find LCM for numbers 4 and 14 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36
Multiples of 14: 14, 28, 42, 56
So the LCM for 4 and 14 is 28
Finding LCM for 4 and 14 by Prime Factorization
Another method to find LCM for numbers 4 and 14 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
22 × 71 = 28
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 4 and 14?
How to find the LCM of 4 and 14 using prime factorization?
What is the difference between LCM and GCF?
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