Least Common Multiple (LCM) of 33 and 182
The least common multiple (LCM) of 33 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 33 and 182?
First, calculate the GCD of 33 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 182 = 0 remainder 33 |
| 2 | 182 ÷ 33 = 5 remainder 17 |
| 3 | 33 ÷ 17 = 1 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 138 | 2346 |
| 80 and 54 | 2160 |
| 107 and 72 | 7704 |
| 76 and 97 | 7372 |
| 121 and 165 | 1815 |