Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.

But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
The first line contains an integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>) — the *n* mentioned in the statement.
import math
n = int(input())
if(n < 3):
    print(n)
else:
    k = int(n * (n - 1) / int(math.gcd(n, n - 1)));
    k = int(k * (n - 2) / int(math.gcd(k, n - 2)));
    print(k);
