Least Common Multiple (LCM) of 182 and 181
The least common multiple (LCM) of 182 and 181 is 32942.
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 181?
First, calculate the GCD of 182 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 181 = 1 remainder 1 |
| 2 | 181 ÷ 1 = 181 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 161 | 14329 |
| 189 and 198 | 4158 |
| 162 and 107 | 17334 |
| 28 and 109 | 3052 |
| 170 and 16 | 1360 |