Least Common Multiple (LCM) of 197 and 173
The least common multiple (LCM) of 197 and 173 is 34081.
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 173?
First, calculate the GCD of 197 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 173 = 1 remainder 24 |
| 2 | 173 ÷ 24 = 7 remainder 5 |
| 3 | 24 ÷ 5 = 4 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 14 | 2758 |
| 196 and 36 | 1764 |
| 195 and 47 | 9165 |
| 56 and 171 | 9576 |
| 171 and 61 | 10431 |