Least Common Multiple (LCM) of 187 and 183
The least common multiple (LCM) of 187 and 183 is 34221.
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 187 and 183?
First, calculate the GCD of 187 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 183 = 1 remainder 4 |
| 2 | 183 ÷ 4 = 45 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 120 | 2040 |
| 30 and 189 | 1890 |
| 74 and 127 | 9398 |
| 163 and 79 | 12877 |
| 17 and 61 | 1037 |