LCM for 5 and 9
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 5 and 9?
Answer
(Forty-five)
Finding LCM for 5 and 9 using GCF of these numbers
The first method to find LCM for numbers 5 and 9 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 9 is 1, so
LCM = (5 × 9) ÷ 1
LCM = 45 ÷ 1
LCM = 45
Finding LCM for 5 and 9 by Listing Multiples
The second method to find LCM for numbers 5 and 9 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Multiples of 9: 9, 18, 27, 36, 45, 54, 63
So the LCM for 5 and 9 is 45
Finding LCM for 5 and 9 by Prime Factorization
Another method to find LCM for numbers 5 and 9 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 5: 5 (exponent form: 51)
All Prime Factors of 9: 3, 3 (exponent form: 32)
51 × 32 = 45
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 5 and 9?
How to find the LCM of 5 and 9 using prime factorization?
What is the difference between LCM and GCF?
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