Least Common Multiple (LCM) of 182 and 133
The least common multiple (LCM) of 182 and 133 is 3458.
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 133?
First, calculate the GCD of 182 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 133 = 1 remainder 49 |
| 2 | 133 ÷ 49 = 2 remainder 35 |
| 3 | 49 ÷ 35 = 1 remainder 14 |
| 4 | 35 ÷ 14 = 2 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 138 | 5106 |
| 189 and 80 | 15120 |
| 111 and 62 | 6882 |
| 113 and 119 | 13447 |
| 147 and 54 | 2646 |