Least Common Multiple (LCM) of 129 and 89
The least common multiple (LCM) of 129 and 89 is 11481.
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 89?
First, calculate the GCD of 129 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 89 = 1 remainder 40 |
| 2 | 89 ÷ 40 = 2 remainder 9 |
| 3 | 40 ÷ 9 = 4 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 32 | 800 |
| 141 and 114 | 5358 |
| 40 and 112 | 560 |
| 135 and 66 | 2970 |
| 149 and 167 | 24883 |