LCM for 9 and 189
What's the Least Common Multiple (LCM) of 9 and 189?
(One hundred eighty-nine)
Finding LCM for 9 and 189 using GCF's of these numbers
The first method to find LCM for numbers 9 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 189 is 9, so
LCM = (9 × 189) ÷ 9
LCM = 1701 ÷ 9
LCM = 189
Finding LCM for 9 and 189 by Listing Multiples
The second method to find LCM for numbers 9 and 189 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
Multiples of 189: 189, 378, 567, 756, 945, 1134, 1323, 1512, 1701, 1890, 2079, 2268, 2457, 2646, 2835, 3024, 3213, 3402, 3591, 3780, 3969, 4158, 4347, [...], 189
So the LCM for 9 and 189 is 189
Finding LCM for 9 and 189 by Prime Factorization
Another method to find LCM for numbers 9 and 189 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 189: 3, 3, 3, 7 (exponent form: 33, 71)
33 × 71 = 189
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--189">What is the LCM of 9 and 189? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 189 | 189 |
| 2 | 189 | 378 |
| 3 | 189 | 189 |
| 4 | 189 | 756 |
| 5 | 189 | 945 |
| 6 | 189 | 378 |
| 7 | 189 | 189 |
| 8 | 189 | 1512 |
| 9 | 189 | 189 |
| 10 | 189 | 1890 |
| 11 | 189 | 2079 |
| 12 | 189 | 756 |
| 13 | 189 | 2457 |
| 14 | 189 | 378 |
| 15 | 189 | 945 |
| 16 | 189 | 3024 |
| 17 | 189 | 3213 |
| 18 | 189 | 378 |
| 19 | 189 | 3591 |
| 20 | 189 | 3780 |
| 21 | 189 | 189 |
| 22 | 189 | 4158 |
| 23 | 189 | 4347 |
| 24 | 189 | 1512 |
| 25 | 189 | 4725 |
| 26 | 189 | 4914 |
| 27 | 189 | 189 |
| 28 | 189 | 756 |
| 29 | 189 | 5481 |
| 30 | 189 | 1890 |
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