LCM for 9 and 132
What's the Least Common Multiple (LCM) of 9 and 132?
(Three hundred ninety-six)
Finding LCM for 9 and 132 using GCF's of these numbers
The first method to find LCM for numbers 9 and 132 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 132 is 3, so
LCM = (9 × 132) ÷ 3
LCM = 1188 ÷ 3
LCM = 396
Finding LCM for 9 and 132 by Listing Multiples
The second method to find LCM for numbers 9 and 132 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, 396, 405, 414
Multiples of 132: 132, 264, 396, 528, 660
So the LCM for 9 and 132 is 396
Finding LCM for 9 and 132 by Prime Factorization
Another method to find LCM for numbers 9 and 132 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 132: 2, 2, 3, 11 (exponent form: 22, 31, 111)
32 × 22 × 111 = 396
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--132">What is the LCM of 9 and 132? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 132 | 132 |
| 2 | 132 | 132 |
| 3 | 132 | 132 |
| 4 | 132 | 132 |
| 5 | 132 | 660 |
| 6 | 132 | 132 |
| 7 | 132 | 924 |
| 8 | 132 | 264 |
| 9 | 132 | 396 |
| 10 | 132 | 660 |
| 11 | 132 | 132 |
| 12 | 132 | 132 |
| 13 | 132 | 1716 |
| 14 | 132 | 924 |
| 15 | 132 | 660 |
| 16 | 132 | 528 |
| 17 | 132 | 2244 |
| 18 | 132 | 396 |
| 19 | 132 | 2508 |
| 20 | 132 | 660 |
| 21 | 132 | 924 |
| 22 | 132 | 132 |
| 23 | 132 | 3036 |
| 24 | 132 | 264 |
| 25 | 132 | 3300 |
| 26 | 132 | 1716 |
| 27 | 132 | 1188 |
| 28 | 132 | 924 |
| 29 | 132 | 3828 |
| 30 | 132 | 660 |
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