def solve(X):
    L=[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71]

    K=10**18
    for y in L:
        t=0
        x=X
        while x%y==0:
            t+=1
            x//=y

        if K>y**(t+1):
            K=y**(t+1)
    return K*X
import sys
input=sys.stdin.readline
write=sys.stdout.write

T=int(input())

Ans=[]
for _ in range(T):
    X=int(input())
    Ans.append(solve(X))

write("\n".join(map(str,Ans)))