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 |
|---|---|
| 128 and 83 | 10624 |
| 150 and 131 | 19650 |
| 26 and 44 | 572 |
| 11 and 20 | 220 |
| 173 and 31 | 5363 |