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 |
|---|---|
| 117 and 152 | 17784 |
| 169 and 57 | 9633 |
| 173 and 124 | 21452 |
| 35 and 109 | 3815 |
| 132 and 32 | 1056 |