LCM for 125 and 175
What's the Least Common Multiple (LCM) of 125 and 175?
Answer
(Eight hundred seventy-five)
Finding LCM for 125 and 175 using GCF of these numbers
The first method to find LCM for numbers 125 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 125 and 175 is 25, so
LCM = (125 × 175) ÷ 25
LCM = 21,875 ÷ 25
LCM = 875
Finding LCM for 125 and 175 by Listing Multiples
The second method to find LCM for numbers 125 and 175 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1,000, 1,125
Multiples of 175: 175, 350, 525, 700, 875, 1,050, 1,225
So the LCM for 125 and 175 is 875
Finding LCM for 125 and 175 by Prime Factorization
Another method to find LCM for numbers 125 and 175 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 125: 5, 5, 5 (exponent form: 53)
All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)
53 × 71 = 875
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 125 | 160 | 4,000 |
| 125 | 161 | 20,125 |
| 125 | 162 | 20,250 |
| 125 | 163 | 20,375 |
| 125 | 164 | 20,500 |
| 125 | 165 | 4,125 |
| 125 | 166 | 20,750 |
| 125 | 167 | 20,875 |
| 125 | 168 | 21,000 |
| 125 | 169 | 21,125 |
| 125 | 170 | 4,250 |
| 125 | 171 | 21,375 |
| 125 | 172 | 21,500 |
| 125 | 173 | 21,625 |
| 125 | 174 | 21,750 |
| 125 | 175 | 875 |
| 125 | 176 | 22,000 |
| 125 | 177 | 22,125 |
| 125 | 178 | 22,250 |
| 125 | 179 | 22,375 |
| 125 | 180 | 4,500 |
| 125 | 181 | 22,625 |
| 125 | 182 | 22,750 |
| 125 | 183 | 22,875 |
| 125 | 184 | 23,000 |
| 125 | 185 | 4,625 |
| 125 | 186 | 23,250 |
| 125 | 187 | 23,375 |
| 125 | 188 | 23,500 |
| 125 | 189 | 23,625 |
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