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 |
|---|---|
| 62 and 124 | 124 |
| 77 and 167 | 12859 |
| 93 and 65 | 6045 |
| 115 and 102 | 11730 |
| 143 and 158 | 22594 |