Least Common Multiple (LCM) of 173 and 182
The least common multiple (LCM) of 173 and 182 is 31486.
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 182?
First, calculate the GCD of 173 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 182 = 0 remainder 173 |
| 2 | 182 ÷ 173 = 1 remainder 9 |
| 3 | 173 ÷ 9 = 19 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 50 | 5450 |
| 129 and 101 | 13029 |
| 49 and 37 | 1813 |
| 155 and 44 | 6820 |
| 42 and 92 | 1932 |