Least Common Multiple (LCM) of 182 and 33
The least common multiple (LCM) of 182 and 33 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 182 and 33?
First, calculate the GCD of 182 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 33 = 5 remainder 17 |
| 2 | 33 ÷ 17 = 1 remainder 16 |
| 3 | 17 ÷ 16 = 1 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 36 | 1908 |
| 13 and 192 | 2496 |
| 13 and 185 | 2405 |
| 159 and 49 | 7791 |
| 100 and 106 | 5300 |