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 |
|---|---|
| 70 and 135 | 1890 |
| 162 and 160 | 12960 |
| 18 and 130 | 1170 |
| 58 and 70 | 2030 |
| 99 and 176 | 1584 |