LCM for 44 and 60
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 44 and 60?
Answer
(Six hundred sixty)
Finding LCM for 44 and 60 using GCF of these numbers
The first method to find LCM for numbers 44 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 44 and 60 is 4, so
LCM = (44 × 60) ÷ 4
LCM = 2640 ÷ 4
LCM = 660
Finding LCM for 44 and 60 by Listing Multiples
The second method to find LCM for numbers 44 and 60 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 44: 44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780
So the LCM for 44 and 60 is 660
Finding LCM for 44 and 60 by Prime Factorization
Another method to find LCM for numbers 44 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 44: 2, 2, 11 (exponent form: 22, 111)
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
22 × 111 × 31 × 51 = 660
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 44 and 60?
How to find the LCM of 44 and 60 using prime factorization?
What is the difference between LCM and GCF?
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