Least Common Multiple (LCM) of 115 and 109
The least common multiple (LCM) of 115 and 109 is 12535.
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 109?
First, calculate the GCD of 115 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 109 = 1 remainder 6 |
| 2 | 109 ÷ 6 = 18 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 51 | 9231 |
| 48 and 170 | 4080 |
| 192 and 48 | 192 |
| 101 and 144 | 14544 |
| 22 and 68 | 748 |