Least Common Multiple (LCM) of 200 and 185
The least common multiple (LCM) of 200 and 185 is 7400.
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 200 and 185?
First, calculate the GCD of 200 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 185 = 1 remainder 15 |
| 2 | 185 ÷ 15 = 12 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 134 | 7906 |
| 100 and 54 | 2700 |
| 66 and 99 | 198 |
| 187 and 43 | 8041 |
| 142 and 173 | 24566 |