Least Common Multiple (LCM) of 200 and 199
The least common multiple (LCM) of 200 and 199 is 39800.
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 199?
First, calculate the GCD of 200 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 199 = 1 remainder 1 |
| 2 | 199 ÷ 1 = 199 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 154 | 6622 |
| 189 and 14 | 378 |
| 99 and 71 | 7029 |
| 20 and 66 | 660 |
| 132 and 192 | 2112 |