Least Common Multiple (LCM) of 129 and 134
The least common multiple (LCM) of 129 and 134 is 17286.
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 134?
First, calculate the GCD of 129 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 134 = 0 remainder 129 |
| 2 | 134 ÷ 129 = 1 remainder 5 |
| 3 | 129 ÷ 5 = 25 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 133 | 13832 |
| 72 and 73 | 5256 |
| 103 and 181 | 18643 |
| 85 and 18 | 1530 |
| 44 and 29 | 1276 |