Least Common Multiple (LCM) of 182 and 191
The least common multiple (LCM) of 182 and 191 is 34762.
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 191?
First, calculate the GCD of 182 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 191 = 0 remainder 182 |
| 2 | 191 ÷ 182 = 1 remainder 9 |
| 3 | 182 ÷ 9 = 20 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 142 | 14200 |
| 150 and 59 | 8850 |
| 138 and 49 | 6762 |
| 11 and 103 | 1133 |
| 158 and 58 | 4582 |