Least Common Multiple (LCM) of 18 and 182
The least common multiple (LCM) of 18 and 182 is 1638.
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 18 and 182?
First, calculate the GCD of 18 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 182 = 0 remainder 18 |
| 2 | 182 ÷ 18 = 10 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 72 | 792 |
| 100 and 124 | 3100 |
| 123 and 172 | 21156 |
| 102 and 133 | 13566 |
| 175 and 183 | 32025 |