Least Common Multiple (LCM) of 129 and 86
The least common multiple (LCM) of 129 and 86 is 258.
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 86?
First, calculate the GCD of 129 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 86 = 1 remainder 43 |
| 2 | 86 ÷ 43 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 120 | 13080 |
| 164 and 97 | 15908 |
| 131 and 69 | 9039 |
| 167 and 157 | 26219 |
| 52 and 15 | 780 |