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:
    ans = 0
    a = n
    b = n-1
    c = n-2
    for i in range(1,n+1):
        ans = max([ans, (a*b*i)/math.gcd(a*b,i), (b*c*i)/math.gcd(b*c,i)])
    print(int(ans))
		   		  	 	 				 	 					 	 	