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 |
|---|---|
| 150 and 95 | 2850 |
| 57 and 91 | 5187 |
| 179 and 76 | 13604 |
| 174 and 52 | 4524 |
| 14 and 49 | 98 |