LCM for 4 and 60
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 4 and 60?
Answer
(Sixty)
Finding LCM for 4 and 60 using GCF of these numbers
The first method to find LCM for numbers 4 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 60 is 4, so
LCM = (4 × 60) ÷ 4
LCM = 240 ÷ 4
LCM = 60
Finding LCM for 4 and 60 by Listing Multiples
The second method to find LCM for numbers 4 and 60 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, 40, 44, 48, 52, 56, 60, 64, 68
Multiples of 60: 60, 120, 180
So the LCM for 4 and 60 is 60
Finding LCM for 4 and 60 by Prime Factorization
Another method to find LCM for numbers 4 and 60 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 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
22 × 31 × 51 = 60
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 60?
How to find the LCM of 4 and 60 using prime factorization?
What is the difference between LCM and GCF?
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