LCM for 1 and 100
What's the Least Common Multiple (LCM) of 1 and 100?
Answer
(One 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
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/1--100">What is the LCM of 1 and 100? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 85 | 85 |
| 1 | 86 | 86 |
| 1 | 87 | 87 |
| 1 | 88 | 88 |
| 1 | 89 | 89 |
| 1 | 90 | 90 |
| 1 | 91 | 91 |
| 1 | 92 | 92 |
| 1 | 93 | 93 |
| 1 | 94 | 94 |
| 1 | 95 | 95 |
| 1 | 96 | 96 |
| 1 | 97 | 97 |
| 1 | 98 | 98 |
| 1 | 99 | 99 |
| 1 | 100 | 100 |
| 1 | 101 | 101 |
| 1 | 102 | 102 |
| 1 | 103 | 103 |
| 1 | 104 | 104 |
| 1 | 105 | 105 |
| 1 | 106 | 106 |
| 1 | 107 | 107 |
| 1 | 108 | 108 |
| 1 | 109 | 109 |
| 1 | 110 | 110 |
| 1 | 111 | 111 |
| 1 | 112 | 112 |
| 1 | 113 | 113 |
| 1 | 114 | 114 |
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