Least Common Multiple (LCM) of 197 and 199
The least common multiple (LCM) of 197 and 199 is 39203.
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 197 and 199?
First, calculate the GCD of 197 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 199 = 0 remainder 197 |
| 2 | 199 ÷ 197 = 1 remainder 2 |
| 3 | 197 ÷ 2 = 98 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 171 | 9063 |
| 92 and 193 | 17756 |
| 180 and 22 | 1980 |
| 67 and 68 | 4556 |
| 11 and 54 | 594 |