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.
from math import gcd
n = int(input())
if(n == 1):
    print(1)
    exit()
ans = n
for i in range(n, 0, -1):
    g = gcd(n, i)
    for j in range(n, 0, -1):
        b = gcd(g, j)
        a = gcd(n, j) * gcd(j, i) * g
        ans = max(ans, n * i * j * b // a)
print(ans)
