LCM for 75 and 80
What's the Least Common Multiple (LCM) of 75 and 80?
(One thousand, two hundred)
Finding LCM for 75 and 80 using GCF's of these numbers
The first method to find LCM for numbers 75 and 80 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 75 and 80 is 5, so
LCM = (75 × 80) ÷ 5
LCM = 6000 ÷ 5
LCM = 1200
Finding LCM for 75 and 80 by Listing Multiples
The second method to find LCM for numbers 75 and 80 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360
So the LCM for 75 and 80 is 1200
Finding LCM for 75 and 80 by Prime Factorization
Another method to find LCM for numbers 75 and 80 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
31 × 52 × 24 = 1200
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LCM Table
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