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 sys
import math
n=int(input())
if n==1 or n==2:
  print(n)
  sys.exit()
ans=n*(n-1)
b=0
for i in range(n-2,0,-1):
  a=math.gcd(ans,i)
  if a==1:
    b=max(b,ans*i)
print(b)
