Least Common Multiple (LCM) of 115 and 163
The least common multiple (LCM) of 115 and 163 is 18745.
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 163?
First, calculate the GCD of 115 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 163 = 0 remainder 115 |
| 2 | 163 ÷ 115 = 1 remainder 48 |
| 3 | 115 ÷ 48 = 2 remainder 19 |
| 4 | 48 ÷ 19 = 2 remainder 10 |
| 5 | 19 ÷ 10 = 1 remainder 9 |
| 6 | 10 ÷ 9 = 1 remainder 1 |
| 7 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 104 | 416 |
| 40 and 144 | 720 |
| 53 and 73 | 3869 |
| 89 and 152 | 13528 |
| 67 and 60 | 4020 |