mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    P = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]

    for _ in range(int(input())):
        X = int(input())
        mi = 10**12
        for i, p in enumerate(P):
            XX = X
            d = 0
            while XX % p == 0:
                d += 1
                XX //= p
            mi = min(mi, p ** (d + 1))
        print(X * mi)


if __name__ == '__main__':
    main()