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 |
|---|---|
| 119 and 88 | 10472 |
| 65 and 179 | 11635 |
| 27 and 103 | 2781 |
| 122 and 27 | 3294 |
| 125 and 185 | 4625 |