Least Common Multiple (LCM) of 183 and 142
The least common multiple (LCM) of 183 and 142 is 25986.
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 183 and 142?
First, calculate the GCD of 183 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 142 = 1 remainder 41 |
| 2 | 142 ÷ 41 = 3 remainder 19 |
| 3 | 41 ÷ 19 = 2 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 84 | 4788 |
| 79 and 161 | 12719 |
| 159 and 178 | 28302 |
| 81 and 162 | 162 |
| 183 and 11 | 2013 |