Least Common Multiple (LCM) of 133 and 182
The least common multiple (LCM) of 133 and 182 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 133 and 182?
First, calculate the GCD of 133 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 182 = 0 remainder 133 |
| 2 | 182 ÷ 133 = 1 remainder 49 |
| 3 | 133 ÷ 49 = 2 remainder 35 |
| 4 | 49 ÷ 35 = 1 remainder 14 |
| 5 | 35 ÷ 14 = 2 remainder 7 |
| 6 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 60 | 240 |
| 80 and 24 | 240 |
| 84 and 103 | 8652 |
| 127 and 187 | 23749 |
| 111 and 185 | 555 |