Least Common Multiple (LCM) of 183 and 182
The least common multiple (LCM) of 183 and 182 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 183 and 182?
First, calculate the GCD of 183 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 182 = 1 remainder 1 |
| 2 | 182 ÷ 1 = 182 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 77 | 2002 |
| 186 and 33 | 2046 |
| 148 and 145 | 21460 |
| 178 and 112 | 9968 |
| 42 and 198 | 1386 |