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 |
|---|---|
| 111 and 142 | 15762 |
| 50 and 28 | 700 |
| 175 and 128 | 22400 |
| 19 and 96 | 1824 |
| 136 and 195 | 26520 |