Least Common Multiple (LCM) of 163 and 115
The least common multiple (LCM) of 163 and 115 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 163 and 115?
First, calculate the GCD of 163 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 115 = 1 remainder 48 |
| 2 | 115 ÷ 48 = 2 remainder 19 |
| 3 | 48 ÷ 19 = 2 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 154 | 11242 |
| 31 and 77 | 2387 |
| 81 and 71 | 5751 |
| 152 and 95 | 760 |
| 129 and 74 | 9546 |