Least Common Multiple (LCM) of 82 and 94
The least common multiple (LCM) of 82 and 94 is 3854.
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 94?
First, calculate the GCD of 82 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 94 = 0 remainder 82 |
| 2 | 94 ÷ 82 = 1 remainder 12 |
| 3 | 82 ÷ 12 = 6 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 129 | 10578 |
| 44 and 177 | 7788 |
| 42 and 107 | 4494 |
| 19 and 87 | 1653 |
| 175 and 65 | 2275 |