Least Common Multiple (LCM) of 129 and 158
The least common multiple (LCM) of 129 and 158 is 20382.
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 158?
First, calculate the GCD of 129 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 158 = 0 remainder 129 |
| 2 | 158 ÷ 129 = 1 remainder 29 |
| 3 | 129 ÷ 29 = 4 remainder 13 |
| 4 | 29 ÷ 13 = 2 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 165 | 495 |
| 81 and 182 | 14742 |
| 35 and 183 | 6405 |
| 29 and 53 | 1537 |
| 90 and 132 | 1980 |