Least Common Multiple (LCM) of 129 and 175
The least common multiple (LCM) of 129 and 175 is 22575.
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 129 and 175?
First, calculate the GCD of 129 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 175 = 0 remainder 129 |
| 2 | 175 ÷ 129 = 1 remainder 46 |
| 3 | 129 ÷ 46 = 2 remainder 37 |
| 4 | 46 ÷ 37 = 1 remainder 9 |
| 5 | 37 ÷ 9 = 4 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 171 | 10089 |
| 91 and 145 | 13195 |
| 25 and 192 | 4800 |
| 151 and 71 | 10721 |
| 143 and 34 | 4862 |