Least Common Multiple (LCM) of 66 and 82
The least common multiple (LCM) of 66 and 82 is 2706.
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 66 and 82?
First, calculate the GCD of 66 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 82 = 0 remainder 66 |
| 2 | 82 ÷ 66 = 1 remainder 16 |
| 3 | 66 ÷ 16 = 4 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 47 | 9071 |
| 182 and 75 | 13650 |
| 116 and 55 | 6380 |
| 61 and 80 | 4880 |
| 94 and 125 | 11750 |