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
lcm = []
n = int(input())
for i in range(1, int(n/2)):
    gcd = math.gcd(n, math.gcd(n-i, (n-i-1)))
    x=(n*(n-i)*(n-i-1))/gcd
    lcm.append(x)

lcm.sort()

print(int(lcm[-1]))
			  	  			 	 			        	 				