Least Common Multiple (LCM) of 198 and 197
The least common multiple (LCM) of 198 and 197 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 198 and 197?
First, calculate the GCD of 198 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 197 = 1 remainder 1 |
| 2 | 197 ÷ 1 = 197 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 48 | 3120 |
| 183 and 136 | 24888 |
| 68 and 148 | 2516 |
| 77 and 102 | 7854 |
| 96 and 23 | 2208 |