Least Common Multiple (LCM) of 197 and 193
The least common multiple (LCM) of 197 and 193 is 38021.
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 193?
First, calculate the GCD of 197 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 193 = 1 remainder 4 |
| 2 | 193 ÷ 4 = 48 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 130 | 1690 |
| 132 and 78 | 1716 |
| 142 and 53 | 7526 |
| 163 and 147 | 23961 |
| 198 and 14 | 1386 |