Least Common Multiple (LCM) of 142 and 183
The least common multiple (LCM) of 142 and 183 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 142 and 183?
First, calculate the GCD of 142 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 183 = 0 remainder 142 |
| 2 | 183 ÷ 142 = 1 remainder 41 |
| 3 | 142 ÷ 41 = 3 remainder 19 |
| 4 | 41 ÷ 19 = 2 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 107 | 12947 |
| 141 and 157 | 22137 |
| 107 and 113 | 12091 |
| 157 and 12 | 1884 |
| 192 and 12 | 192 |