Least Common Multiple (LCM) of 129 and 136
The least common multiple (LCM) of 129 and 136 is 17544.
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 136?
First, calculate the GCD of 129 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 136 = 0 remainder 129 |
| 2 | 136 ÷ 129 = 1 remainder 7 |
| 3 | 129 ÷ 7 = 18 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 63 | 189 |
| 180 and 94 | 8460 |
| 52 and 78 | 156 |
| 154 and 188 | 14476 |
| 52 and 74 | 1924 |