Least Common Multiple (LCM) of 175 and 129
The least common multiple (LCM) of 175 and 129 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 175 and 129?
First, calculate the GCD of 175 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 129 = 1 remainder 46 |
| 2 | 129 ÷ 46 = 2 remainder 37 |
| 3 | 46 ÷ 37 = 1 remainder 9 |
| 4 | 37 ÷ 9 = 4 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 55 | 10230 |
| 155 and 118 | 18290 |
| 88 and 122 | 5368 |
| 66 and 56 | 1848 |
| 176 and 95 | 16720 |