Least Common Multiple (LCM) of 116 and 129
The least common multiple (LCM) of 116 and 129 is 14964.
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 116 and 129?
First, calculate the GCD of 116 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 129 = 0 remainder 116 |
| 2 | 129 ÷ 116 = 1 remainder 13 |
| 3 | 116 ÷ 13 = 8 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 116 | 580 |
| 130 and 200 | 2600 |
| 143 and 86 | 12298 |
| 91 and 30 | 2730 |
| 69 and 96 | 2208 |