Least Common Multiple (LCM) of 162 and 182
The least common multiple (LCM) of 162 and 182 is 14742.
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 162 and 182?
First, calculate the GCD of 162 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 182 = 0 remainder 162 |
| 2 | 182 ÷ 162 = 1 remainder 20 |
| 3 | 162 ÷ 20 = 8 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 85 | 15470 |
| 25 and 65 | 325 |
| 105 and 90 | 630 |
| 135 and 71 | 9585 |
| 144 and 62 | 4464 |