Least Common Multiple (LCM) of 115 and 143
The least common multiple (LCM) of 115 and 143 is 16445.
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 143?
First, calculate the GCD of 115 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 143 = 0 remainder 115 |
| 2 | 143 ÷ 115 = 1 remainder 28 |
| 3 | 115 ÷ 28 = 4 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 180 | 4140 |
| 78 and 41 | 3198 |
| 115 and 131 | 15065 |
| 157 and 195 | 30615 |
| 31 and 179 | 5549 |