Least Common Multiple (LCM) of 129 and 115
The least common multiple (LCM) of 129 and 115 is 14835.
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 115?
First, calculate the GCD of 129 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 115 = 1 remainder 14 |
| 2 | 115 ÷ 14 = 8 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 33 | 6468 |
| 36 and 72 | 72 |
| 132 and 163 | 21516 |
| 122 and 181 | 22082 |
| 65 and 188 | 12220 |