LCM for 135 and 225
What's the Least Common Multiple (LCM) of 135 and 225?
Answer
(Six hundred seventy-five)
Finding LCM for 135 and 225 using GCF of these numbers
The first method to find LCM for numbers 135 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 135 and 225 is 45, so
LCM = (135 × 225) ÷ 45
LCM = 30,375 ÷ 45
LCM = 675
Finding LCM for 135 and 225 by Listing Multiples
The second method to find LCM for numbers 135 and 225 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 135: 135, 270, 405, 540, 675, 810, 945
Multiples of 225: 225, 450, 675, 900, 1,125
So the LCM for 135 and 225 is 675
Finding LCM for 135 and 225 by Prime Factorization
Another method to find LCM for numbers 135 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)
All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 32, 52)
33 × 52 = 675
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 135 | 210 | 1,890 |
| 135 | 211 | 28,485 |
| 135 | 212 | 28,620 |
| 135 | 213 | 9,585 |
| 135 | 214 | 28,890 |
| 135 | 215 | 5,805 |
| 135 | 216 | 1,080 |
| 135 | 217 | 29,295 |
| 135 | 218 | 29,430 |
| 135 | 219 | 9,855 |
| 135 | 220 | 5,940 |
| 135 | 221 | 29,835 |
| 135 | 222 | 9,990 |
| 135 | 223 | 30,105 |
| 135 | 224 | 30,240 |
| 135 | 225 | 675 |
| 135 | 226 | 30,510 |
| 135 | 227 | 30,645 |
| 135 | 228 | 10,260 |
| 135 | 229 | 30,915 |
| 135 | 230 | 6,210 |
| 135 | 231 | 10,395 |
| 135 | 232 | 31,320 |
| 135 | 233 | 31,455 |
| 135 | 234 | 3,510 |
| 135 | 235 | 6,345 |
| 135 | 236 | 31,860 |
| 135 | 237 | 10,665 |
| 135 | 238 | 32,130 |
| 135 | 239 | 32,265 |
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