Least Common Multiple (LCM) of 129 and 191
The least common multiple (LCM) of 129 and 191 is 24639.
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 191?
First, calculate the GCD of 129 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 191 = 0 remainder 129 |
| 2 | 191 ÷ 129 = 1 remainder 62 |
| 3 | 129 ÷ 62 = 2 remainder 5 |
| 4 | 62 ÷ 5 = 12 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 43 | 5762 |
| 146 and 78 | 5694 |
| 157 and 39 | 6123 |
| 49 and 54 | 2646 |
| 46 and 166 | 3818 |