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 == 1:
  print(1)
else :
  for i in range(n, 0, -1):
    if 1 == math.gcd(n, i):
      t = i
      break
  for i in range(t-1, 0, -1):
    if 1 == math.gcd(n, i) and 1 == math.gcd(t, i):
      print(t*i*n)
      break
