Least Common Multiple (LCM) of 82 and 163
The least common multiple (LCM) of 82 and 163 is 13366.
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 163?
First, calculate the GCD of 82 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 163 = 0 remainder 82 |
| 2 | 163 ÷ 82 = 1 remainder 81 |
| 3 | 82 ÷ 81 = 1 remainder 1 |
| 4 | 81 ÷ 1 = 81 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 130 | 20670 |
| 131 and 152 | 19912 |
| 146 and 199 | 29054 |
| 59 and 118 | 118 |
| 118 and 42 | 2478 |