Least Common Multiple (LCM) of 182 and 57
The least common multiple (LCM) of 182 and 57 is 10374.
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 57?
First, calculate the GCD of 182 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 57 = 3 remainder 11 |
| 2 | 57 ÷ 11 = 5 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 94 | 18706 |
| 69 and 195 | 4485 |
| 108 and 183 | 6588 |
| 198 and 185 | 36630 |
| 110 and 141 | 15510 |