Least Common Multiple (LCM) of 197 and 163
The least common multiple (LCM) of 197 and 163 is 32111.
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 163?
First, calculate the GCD of 197 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 163 = 1 remainder 34 |
| 2 | 163 ÷ 34 = 4 remainder 27 |
| 3 | 34 ÷ 27 = 1 remainder 7 |
| 4 | 27 ÷ 7 = 3 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 15 | 135 |
| 133 and 156 | 20748 |
| 81 and 65 | 5265 |
| 79 and 53 | 4187 |
| 159 and 13 | 2067 |