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 |
|---|---|
| 149 and 18 | 2682 |
| 117 and 16 | 1872 |
| 112 and 196 | 784 |
| 39 and 37 | 1443 |
| 174 and 130 | 11310 |