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(a,b):
    return (a*b)//gcd(a,b)
def lcm(x, y):
    return (x * y )// gcd(x, y)

n = int(input())
r = range(max(1, n - 20), n+1)
ans = []
for x in r:
    for y in r:
        for z in r:
            a = lcm(x,lcm(y,z))
            ans.append(a)
print(max(ans))