Least Common Multiple (LCM) of 115 and 170
The least common multiple (LCM) of 115 and 170 is 3910.
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 170?
First, calculate the GCD of 115 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 170 = 0 remainder 115 |
| 2 | 170 ÷ 115 = 1 remainder 55 |
| 3 | 115 ÷ 55 = 2 remainder 5 |
| 4 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 92 | 17204 |
| 200 and 19 | 3800 |
| 187 and 188 | 35156 |
| 39 and 197 | 7683 |
| 14 and 50 | 350 |