LCM for 105 and 231
What's the Least Common Multiple (LCM) of 105 and 231?
(One thousand, one hundred fifty-five)
Finding LCM for 105 and 231 using GCF's of these numbers
The first method to find LCM for numbers 105 and 231 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 105 and 231 is 21, so
LCM = (105 × 231) ÷ 21
LCM = 24255 ÷ 21
LCM = 1155
Finding LCM for 105 and 231 by Listing Multiples
The second method to find LCM for numbers 105 and 231 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365
Multiples of 231: 231, 462, 693, 924, 1155, 1386, 1617
So the LCM for 105 and 231 is 1155
Finding LCM for 105 and 231 by Prime Factorization
Another method to find LCM for numbers 105 and 231 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
All Prime Factors of 231: 3, 7, 11 (exponent form: 31, 71, 111)
31 × 51 × 71 × 111 = 1155
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/105--231">What is the LCM of 105 and 231? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 90 | 231 | 6930 |
| 91 | 231 | 3003 |
| 92 | 231 | 21252 |
| 93 | 231 | 7161 |
| 94 | 231 | 21714 |
| 95 | 231 | 21945 |
| 96 | 231 | 7392 |
| 97 | 231 | 22407 |
| 98 | 231 | 3234 |
| 99 | 231 | 693 |
| 100 | 231 | 23100 |
| 101 | 231 | 23331 |
| 102 | 231 | 7854 |
| 103 | 231 | 23793 |
| 104 | 231 | 24024 |
| 105 | 231 | 1155 |
| 106 | 231 | 24486 |
| 107 | 231 | 24717 |
| 108 | 231 | 8316 |
| 109 | 231 | 25179 |
| 110 | 231 | 2310 |
| 111 | 231 | 8547 |
| 112 | 231 | 3696 |
| 113 | 231 | 26103 |
| 114 | 231 | 8778 |
| 115 | 231 | 26565 |
| 116 | 231 | 26796 |
| 117 | 231 | 9009 |
| 118 | 231 | 27258 |
| 119 | 231 | 3927 |
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