Least Common Multiple (LCM) of 168 and 182
The least common multiple (LCM) of 168 and 182 is 2184.
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 168 and 182?
First, calculate the GCD of 168 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 182 = 0 remainder 168 |
| 2 | 182 ÷ 168 = 1 remainder 14 |
| 3 | 168 ÷ 14 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 144 | 27504 |
| 21 and 172 | 3612 |
| 17 and 11 | 187 |
| 158 and 22 | 1738 |
| 125 and 176 | 22000 |