Least Common Multiple (LCM) of 125 and 173
The least common multiple (LCM) of 125 and 173 is 21625.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 125 and 173?
First, calculate the GCD of 125 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 173 = 0 remainder 125 |
| 2 | 173 ÷ 125 = 1 remainder 48 |
| 3 | 125 ÷ 48 = 2 remainder 29 |
| 4 | 48 ÷ 29 = 1 remainder 19 |
| 5 | 29 ÷ 19 = 1 remainder 10 |
| 6 | 19 ÷ 10 = 1 remainder 9 |
| 7 | 10 ÷ 9 = 1 remainder 1 |
| 8 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 129 | 20253 |
| 50 and 149 | 7450 |
| 10 and 185 | 370 |
| 191 and 188 | 35908 |
| 48 and 136 | 816 |