Least Common Multiple (LCM) of 193 and 129
The least common multiple (LCM) of 193 and 129 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 193 and 129?
First, calculate the GCD of 193 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 129 = 1 remainder 64 |
| 2 | 129 ÷ 64 = 2 remainder 1 |
| 3 | 64 ÷ 1 = 64 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 116 | 12644 |
| 122 and 19 | 2318 |
| 15 and 189 | 945 |
| 147 and 44 | 6468 |
| 25 and 21 | 525 |