Least Common Multiple (LCM) of 197 and 97
The least common multiple (LCM) of 197 and 97 is 19109.
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 97?
First, calculate the GCD of 197 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 97 = 2 remainder 3 |
| 2 | 97 ÷ 3 = 32 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 190 | 190 |
| 94 and 195 | 18330 |
| 125 and 25 | 125 |
| 192 and 134 | 12864 |
| 146 and 29 | 4234 |