Least Common Multiple (LCM) of 173 and 193
The least common multiple (LCM) of 173 and 193 is 33389.
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 193?
First, calculate the GCD of 173 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 193 = 0 remainder 173 |
| 2 | 193 ÷ 173 = 1 remainder 20 |
| 3 | 173 ÷ 20 = 8 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 164 | 19188 |
| 137 and 147 | 20139 |
| 167 and 126 | 21042 |
| 76 and 146 | 5548 |
| 78 and 162 | 2106 |