Least Common Multiple (LCM) of 182 and 183
The least common multiple (LCM) of 182 and 183 is 33306.
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 183?
First, calculate the GCD of 182 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 183 = 0 remainder 182 |
| 2 | 183 ÷ 182 = 1 remainder 1 |
| 3 | 182 ÷ 1 = 182 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 149 | 4768 |
| 101 and 23 | 2323 |
| 129 and 24 | 1032 |
| 54 and 135 | 270 |
| 30 and 175 | 1050 |