Least Common Multiple (LCM) of 82 and 76
The least common multiple (LCM) of 82 and 76 is 3116.
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 76?
First, calculate the GCD of 82 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 76 = 1 remainder 6 |
| 2 | 76 ÷ 6 = 12 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 50 | 3950 |
| 43 and 173 | 7439 |
| 97 and 164 | 15908 |
| 179 and 183 | 32757 |
| 163 and 149 | 24287 |