LCM for 9 and 123
What's the Least Common Multiple (LCM) of 9 and 123?
(Three hundred sixty-nine)
Finding LCM for 9 and 123 using GCF's of these numbers
The first method to find LCM for numbers 9 and 123 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 123 is 3, so
LCM = (9 × 123) ÷ 3
LCM = 1107 ÷ 3
LCM = 369
Finding LCM for 9 and 123 by Listing Multiples
The second method to find LCM for numbers 9 and 123 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387
Multiples of 123: 123, 246, 369, 492, 615
So the LCM for 9 and 123 is 369
Finding LCM for 9 and 123 by Prime Factorization
Another method to find LCM for numbers 9 and 123 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 123: 3, 41 (exponent form: 31, 411)
32 × 411 = 369
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/9--123">What is the LCM of 9 and 123? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 123 | 123 |
| 2 | 123 | 246 |
| 3 | 123 | 123 |
| 4 | 123 | 492 |
| 5 | 123 | 615 |
| 6 | 123 | 246 |
| 7 | 123 | 861 |
| 8 | 123 | 984 |
| 9 | 123 | 369 |
| 10 | 123 | 1230 |
| 11 | 123 | 1353 |
| 12 | 123 | 492 |
| 13 | 123 | 1599 |
| 14 | 123 | 1722 |
| 15 | 123 | 615 |
| 16 | 123 | 1968 |
| 17 | 123 | 2091 |
| 18 | 123 | 738 |
| 19 | 123 | 2337 |
| 20 | 123 | 2460 |
| 21 | 123 | 861 |
| 22 | 123 | 2706 |
| 23 | 123 | 2829 |
| 24 | 123 | 984 |
| 25 | 123 | 3075 |
| 26 | 123 | 3198 |
| 27 | 123 | 1107 |
| 28 | 123 | 3444 |
| 29 | 123 | 3567 |
| 30 | 123 | 1230 |
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