Least Common Multiple (LCM) of 187 and 200
The least common multiple (LCM) of 187 and 200 is 37400.
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 200?
First, calculate the GCD of 187 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 200 = 0 remainder 187 |
| 2 | 200 ÷ 187 = 1 remainder 13 |
| 3 | 187 ÷ 13 = 14 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 191 | 33425 |
| 63 and 181 | 11403 |
| 185 and 85 | 3145 |
| 197 and 123 | 24231 |
| 177 and 52 | 9204 |