LCM for 1 and 100
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 1 and 100?
Answer
(Hundred)
Finding LCM for 1 and 100 using GCF of these numbers
The first method to find LCM for numbers 1 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 1 and 100 is 1, so
LCM = (1 × 100) ÷ 1
LCM = 100 ÷ 1
LCM = 100
Finding LCM for 1 and 100 by Listing Multiples
The second method to find LCM for numbers 1 and 100 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102
Multiples of 100: 100, 200, 300
So the LCM for 1 and 100 is 100
Finding LCM for 1 and 100 by Prime Factorization
Another method to find LCM for numbers 1 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 1: 1 (exponent form: 11)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
11 × 22 × 52 = 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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 1 and 100?
How to find the LCM of 1 and 100 using prime factorization?
What is the difference between LCM and GCF?
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