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 |
|---|---|
| 168 and 188 | 7896 |
| 130 and 60 | 780 |
| 153 and 51 | 153 |
| 100 and 178 | 8900 |
| 67 and 98 | 6566 |