Least Common Multiple (LCM) of 82 and 181
The least common multiple (LCM) of 82 and 181 is 14842.
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 82 and 181?
First, calculate the GCD of 82 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 181 = 0 remainder 82 |
| 2 | 181 ÷ 82 = 2 remainder 17 |
| 3 | 82 ÷ 17 = 4 remainder 14 |
| 4 | 17 ÷ 14 = 1 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 63 | 5418 |
| 126 and 105 | 630 |
| 178 and 84 | 7476 |
| 65 and 161 | 10465 |
| 117 and 199 | 23283 |