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.
import math
from functools import reduce
n = int(input())
a = [n]
for i in range(n - 1, 0, -1):
    if len(a) >= 3:
        break
    if all(math.gcd(i, x) == 1 for x in a):
        a.append(i)

print(reduce(lambda a, b: a * b, a, 1))
