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 |
|---|---|
| 38 and 183 | 6954 |
| 73 and 199 | 14527 |
| 105 and 80 | 1680 |
| 58 and 172 | 4988 |
| 146 and 68 | 4964 |