Least Common Multiple (LCM) of 129 and 131
The least common multiple (LCM) of 129 and 131 is 16899.
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 131?
First, calculate the GCD of 129 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 131 = 0 remainder 129 |
| 2 | 131 ÷ 129 = 1 remainder 2 |
| 3 | 129 ÷ 2 = 64 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 141 | 22137 |
| 198 and 53 | 10494 |
| 158 and 17 | 2686 |
| 188 and 142 | 13348 |
| 118 and 88 | 5192 |