from itertools import chain
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 18


def prime_set(N):
    """
    Nまでの素数のsetを返す
    """
    if N < 4:
        return ({}, {}, {2}, {2, 3})[N]
    Nsq = int(N ** 0.5 + 0.5) + 1
    primes = {2, 3} | set(chain(range(5, N + 1, 6), range(7, N + 1, 6)))
    for i in range(5, Nsq, 2):
        if i in primes:
            primes -= set(range(i * i, N + 1, i * 2))
    return sorted(primes)


def F(n, p):
    res = 1
    for _ in range(p):
        res *= n
        if res > inf:
            return inf
    return res


U = 10 ** 6
Prime = prime_set(U)
T = int(input())
for _ in range(T):
    X = int(input())
    ans = X
    D = inf
    for p in Prime:
        if p >= D:
            break
        cnt = 0
        while X % p == 0:
            cnt += 1
            X //= p
        D = min(D, F(p, cnt + 1))
    print(ans * D)