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

def lcm(a,b):
  return (a * b) // math.gcd(a,b)

n = int(input())
least = 0
if n == 1:
    least = 1
elif n == 2:
    least = 2
else:
    for i in range(max(3, n - 1000), n + 1):
        others = []
        other = i
        while len(others) < 2:
            if (lcm(other, i) == other * i):
                if len(others) == 1 and lcm(others[0], other) == others[0] * other:
                    others.append(other)
                elif len(others) == 0:
                    others.append(other)
            other -= 1
        least1 = i * others[0] * others[1]
        least = max(least, least1)
        


print(least)