LCM for 45 and 65
What's the Least Common Multiple (LCM) of 45 and 65?
(Five hundred eighty-five)
Finding LCM for 45 and 65 using GCF's of these numbers
The first method to find LCM for numbers 45 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 65 is 5, so
LCM = (45 × 65) ÷ 5
LCM = 2925 ÷ 5
LCM = 585
Finding LCM for 45 and 65 by Listing Multiples
The second method to find LCM for numbers 45 and 65 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675
Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715
So the LCM for 45 and 65 is 585
Finding LCM for 45 and 65 by Prime Factorization
Another method to find LCM for numbers 45 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 65: 5, 13 (exponent form: 51, 131)
32 × 51 × 131 = 585
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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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