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<=4:
    print((0,1,2,6,12)[n])
else:
    for i in range(n,1,-1):
        k = gcd(i,n)
        if(k==1):
            break
    r=n*i
    for i in range(n,1,-1):
        k = gcd(i,r)
        if(k==1):
            break
    r*=i
    print(r)

