Least Common Multiple (LCM) of 173 and 191
The least common multiple (LCM) of 173 and 191 is 33043.
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 191?
First, calculate the GCD of 173 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 191 = 0 remainder 173 |
| 2 | 191 ÷ 173 = 1 remainder 18 |
| 3 | 173 ÷ 18 = 9 remainder 11 |
| 4 | 18 ÷ 11 = 1 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 68 | 2652 |
| 173 and 96 | 16608 |
| 114 and 189 | 7182 |
| 66 and 123 | 2706 |
| 153 and 71 | 10863 |