Least Common Multiple (LCM) of 197 and 198
The least common multiple (LCM) of 197 and 198 is 39006.
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 198?
First, calculate the GCD of 197 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 198 = 0 remainder 197 |
| 2 | 198 ÷ 197 = 1 remainder 1 |
| 3 | 197 ÷ 1 = 197 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 57 | 7980 |
| 35 and 122 | 4270 |
| 19 and 59 | 1121 |
| 198 and 146 | 14454 |
| 31 and 21 | 651 |