Least Common Multiple (LCM) of 193 and 197
The least common multiple (LCM) of 193 and 197 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 193 and 197?
First, calculate the GCD of 193 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 197 = 0 remainder 193 |
| 2 | 197 ÷ 193 = 1 remainder 4 |
| 3 | 193 ÷ 4 = 48 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 180 | 8460 |
| 114 and 17 | 1938 |
| 119 and 88 | 10472 |
| 159 and 182 | 28938 |
| 95 and 191 | 18145 |