Least Common Multiple (LCM) of 181 and 182
The least common multiple (LCM) of 181 and 182 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 181 and 182?
First, calculate the GCD of 181 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 182 = 0 remainder 181 |
| 2 | 182 ÷ 181 = 1 remainder 1 |
| 3 | 181 ÷ 1 = 181 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 176 | 2288 |
| 29 and 138 | 4002 |
| 100 and 185 | 3700 |
| 126 and 29 | 3654 |
| 111 and 12 | 444 |