LCM for 32 and 80
What's the Least Common Multiple (LCM) of 32 and 80?
Answer
(One hundred sixty)
Finding LCM for 32 and 80 using GCF of these numbers
The first method to find LCM for numbers 32 and 80 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 32 and 80 is 16, so
LCM = (32 × 80) ÷ 16
LCM = 2,560 ÷ 16
LCM = 160
Finding LCM for 32 and 80 by Listing Multiples
The second method to find LCM for numbers 32 and 80 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 32: 32, 64, 96, 128, 160, 192, 224
Multiples of 80: 80, 160, 240, 320
So the LCM for 32 and 80 is 160
Finding LCM for 32 and 80 by Prime Factorization
Another method to find LCM for numbers 32 and 80 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
25 × 51 = 160
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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 32 and 80?
How to find the LCM of 32 and 80 using prime factorization?
What is the difference between LCM and GCF?
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