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
def lcm(i,j,k):
    g=i*j//gcd(i,j)
    h=k*g//gcd(g,k)
    return h
n=int(input())
print(max(lcm(n,n-1,n-2),lcm(n-1,n-2,n-3)))

