Least Common Multiple (LCM) of 116 and 115
The least common multiple (LCM) of 116 and 115 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 116 and 115?
First, calculate the GCD of 116 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 115 = 1 remainder 1 |
| 2 | 115 ÷ 1 = 115 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 70 | 1890 |
| 81 and 103 | 8343 |
| 122 and 21 | 2562 |
| 184 and 108 | 4968 |
| 54 and 65 | 3510 |