LCM for 40 and 65
What's the Least Common Multiple (LCM) of 40 and 65?
Answer
(Five hundred twenty)
Finding LCM for 40 and 65 using GCF of these numbers
The first method to find LCM for numbers 40 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 65 is 5, so
LCM = (40 × 65) ÷ 5
LCM = 2,600 ÷ 5
LCM = 520
Finding LCM for 40 and 65 by Listing Multiples
The second method to find LCM for numbers 40 and 65 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600
Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650
So the LCM for 40 and 65 is 520
Finding LCM for 40 and 65 by Prime Factorization
Another method to find LCM for numbers 40 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 65: 5, 13 (exponent form: 51, 131)
23 × 51 × 131 = 520
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 40 and 65?
How to find the LCM of 40 and 65 using prime factorization?
What is the difference between LCM and GCF?
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