Least Common Multiple (LCM) of 183 and 199
The least common multiple (LCM) of 183 and 199 is 36417.
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 199?
First, calculate the GCD of 183 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 199 = 0 remainder 183 |
| 2 | 199 ÷ 183 = 1 remainder 16 |
| 3 | 183 ÷ 16 = 11 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 126 | 4788 |
| 127 and 180 | 22860 |
| 177 and 148 | 26196 |
| 141 and 152 | 21432 |
| 187 and 26 | 4862 |