Least Common Multiple (LCM) of 173 and 197
The least common multiple (LCM) of 173 and 197 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 173 and 197?
First, calculate the GCD of 173 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 197 = 0 remainder 173 |
| 2 | 197 ÷ 173 = 1 remainder 24 |
| 3 | 173 ÷ 24 = 7 remainder 5 |
| 4 | 24 ÷ 5 = 4 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 139 | 19599 |
| 186 and 49 | 9114 |
| 150 and 24 | 600 |
| 167 and 26 | 4342 |
| 152 and 186 | 14136 |