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 > 2:
    gcd = math.gcd(n-1, math.gcd(n-2, (n-3)))
    x = (n*(n-1)*(n-2))//gcd
    print(x)
else:
    print(n)

					 	    		 	       		 	  			