LCM for 80 and 150
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 80 and 150?
Answer
(One thousand, two hundred)
Finding LCM for 80 and 150 using GCF of these numbers
The first method to find LCM for numbers 80 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 80 and 150 is 10, so
LCM = (80 × 150) ÷ 10
LCM = 12000 ÷ 10
LCM = 1200
Finding LCM for 80 and 150 by Listing Multiples
The second method to find LCM for numbers 80 and 150 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360
Multiples of 150: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500
So the LCM for 80 and 150 is 1200
Finding LCM for 80 and 150 by Prime Factorization
Another method to find LCM for numbers 80 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)
24 × 52 × 31 = 1200
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 80 and 150?
How to find the LCM of 80 and 150 using prime factorization?
What is the difference between LCM and GCF?
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