Least Common Multiple (LCM) of 173 and 183
The least common multiple (LCM) of 173 and 183 is 31659.
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 183?
First, calculate the GCD of 173 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 183 = 0 remainder 173 |
| 2 | 183 ÷ 173 = 1 remainder 10 |
| 3 | 173 ÷ 10 = 17 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 49 | 1666 |
| 187 and 13 | 2431 |
| 108 and 105 | 3780 |
| 105 and 79 | 8295 |
| 102 and 116 | 5916 |