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
from itertools import combinations
n = int(input())
if n<=3:
    print((0,1,2,6)[n])
else:
    m =0
    for i,j,k in combinations(list(range(max(n-50,2),n+1)),3):
        r = (i*j)//gcd(i,j)
        m = max(m,(r*k)//gcd(r,k))
    print(m)
