#include <fstream>

using namespace std;

ifstream fin("gfact.in");
ofstream fout("gfact.out");

long long int p,q;

long long int div(long long int n,long long int d)
{
    long long int r=0;
    while (n>=d)
    {
        r+=n/d;
        n/=d;
    }
    return r;
}

long long int caut_bin(long long int d,long long int putere)
{
    long long int i=0,pas=1<<30;
    pas*=pas;
    while (pas!=0)
    {
        if (div(i+pas,d)<putere && i+pas<=d*putere) i+=pas;      // !!!
        pas/=2;
    }
    return i+1;
}

int main()
{
    long long int d=2,pow=0,max=0,r;
    fin>>p>>q;
    while (p>1)
    {
        r=0;
        pow=0;
        if (d*d>p) d=p;
        while (p%d==0) {pow++;p/=d;}
        if (pow!=0) r=caut_bin(d,pow*q);
        if (r>max) max=r;
        d++;
    }
    fout<<max;
}