Least Common Multiple (LCM) of 182 and 185
The least common multiple (LCM) of 182 and 185 is 33670.
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 182 and 185?
First, calculate the GCD of 182 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 185 = 0 remainder 182 |
| 2 | 185 ÷ 182 = 1 remainder 3 |
| 3 | 182 ÷ 3 = 60 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 105 | 17115 |
| 173 and 43 | 7439 |
| 21 and 45 | 315 |
| 118 and 173 | 20414 |
| 31 and 47 | 1457 |