Least Common Multiple (LCM) of 182 and 193
The least common multiple (LCM) of 182 and 193 is 35126.
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 193?
First, calculate the GCD of 182 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 193 = 0 remainder 182 |
| 2 | 193 ÷ 182 = 1 remainder 11 |
| 3 | 182 ÷ 11 = 16 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 173 | 19376 |
| 105 and 16 | 1680 |
| 116 and 100 | 2900 |
| 153 and 43 | 6579 |
| 195 and 72 | 4680 |