Least Common Multiple (LCM) of 129 and 116
The least common multiple (LCM) of 129 and 116 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 129 and 116?
First, calculate the GCD of 129 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 116 = 1 remainder 13 |
| 2 | 116 ÷ 13 = 8 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 174 | 10266 |
| 149 and 175 | 26075 |
| 129 and 165 | 7095 |
| 99 and 197 | 19503 |
| 199 and 103 | 20497 |