Least Common Multiple (LCM) of 115 and 116
The least common multiple (LCM) of 115 and 116 is 13340.
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 115 and 116?
First, calculate the GCD of 115 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 116 = 0 remainder 115 |
| 2 | 116 ÷ 115 = 1 remainder 1 |
| 3 | 115 ÷ 1 = 115 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 157 | 30772 |
| 138 and 111 | 5106 |
| 39 and 196 | 7644 |
| 178 and 186 | 16554 |
| 43 and 47 | 2021 |