Least Common Multiple (LCM) of 129 and 193
The least common multiple (LCM) of 129 and 193 is 24897.
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 193?
First, calculate the GCD of 129 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 193 = 0 remainder 129 |
| 2 | 193 ÷ 129 = 1 remainder 64 |
| 3 | 129 ÷ 64 = 2 remainder 1 |
| 4 | 64 ÷ 1 = 64 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 96 | 480 |
| 15 and 185 | 555 |
| 41 and 104 | 4264 |
| 30 and 26 | 390 |
| 95 and 165 | 3135 |