Least Common Multiple (LCM) of 66 and 182
The least common multiple (LCM) of 66 and 182 is 6006.
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 182?
First, calculate the GCD of 66 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 182 = 0 remainder 66 |
| 2 | 182 ÷ 66 = 2 remainder 50 |
| 3 | 66 ÷ 50 = 1 remainder 16 |
| 4 | 50 ÷ 16 = 3 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 150 | 4650 |
| 40 and 164 | 1640 |
| 162 and 162 | 162 |
| 21 and 181 | 3801 |
| 102 and 200 | 10200 |