Least Common Multiple (LCM) of 183 and 145
The least common multiple (LCM) of 183 and 145 is 26535.
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 145?
First, calculate the GCD of 183 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 145 = 1 remainder 38 |
| 2 | 145 ÷ 38 = 3 remainder 31 |
| 3 | 38 ÷ 31 = 1 remainder 7 |
| 4 | 31 ÷ 7 = 4 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 148 | 7400 |
| 185 and 23 | 4255 |
| 56 and 42 | 168 |
| 17 and 146 | 2482 |
| 159 and 175 | 27825 |