Least Common Multiple (LCM) of 129 and 154
The least common multiple (LCM) of 129 and 154 is 19866.
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 154?
First, calculate the GCD of 129 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 154 = 0 remainder 129 |
| 2 | 154 ÷ 129 = 1 remainder 25 |
| 3 | 129 ÷ 25 = 5 remainder 4 |
| 4 | 25 ÷ 4 = 6 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 95 | 2185 |
| 196 and 177 | 34692 |
| 162 and 71 | 11502 |
| 103 and 122 | 12566 |
| 146 and 105 | 15330 |