Least Common Multiple (LCM) of 198 and 196
The least common multiple (LCM) of 198 and 196 is 19404.
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 198 and 196?
First, calculate the GCD of 198 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 196 = 1 remainder 2 |
| 2 | 196 ÷ 2 = 98 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 177 | 1062 |
| 115 and 127 | 14605 |
| 161 and 69 | 483 |
| 137 and 66 | 9042 |
| 63 and 76 | 4788 |