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())
def lcm(a,b,c):
    x=int((a*b)/gcd(a,b))
    x=(x*c)/gcd(x,c)
    return(x)
q=0
for i in range(1,n-1):
    q=max(q,lcm(n,n-1,i))
print(q)