LCM for 5 and 100
What's the Least Common Multiple (LCM) of 5 and 100?
Answer
(One hundred)
Finding LCM for 5 and 100 using GCF of these numbers
The first method to find LCM for numbers 5 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 5 and 100 is 5, so
LCM = (5 × 100) ÷ 5
LCM = 500 ÷ 5
LCM = 100
Finding LCM for 5 and 100 by Listing Multiples
The second method to find LCM for numbers 5 and 100 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, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110
Multiples of 100: 100, 200, 300
So the LCM for 5 and 100 is 100
Finding LCM for 5 and 100 by Prime Factorization
Another method to find LCM for numbers 5 and 100 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 100: 2, 2, 5, 5 (exponent form: 22, 52)
52 × 22 = 100
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 5 and 100?
How to find the LCM of 5 and 100 using prime factorization?
What is the difference between LCM and GCF?
See Also
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