#include <cstdio>
#include <cmath>
int p,q;
long long s,e;
int main()
{
    freopen ("gfact.in","r",stdin);
    freopen ("gfact.out","w",stdout);
    scanf("%d%d",&p,&q);
    int exp=1,cat=0;
    int st=(int)sqrt(p)+1;
    if(p%2==0)
    {
              exp=2;
              while(p%2==0)
              {
                           cat++;
                           p/=2;
              }
    }
    for(int j=3;j<=st;j+=2)
    {
            if(p%j==0)
            {
                      exp=j;
                      cat=0;
                      while(p%j==0)
                      {
                                   cat++;
                                   p/=j;
                      }
            }
    }
    if(p!=1)
    {
            exp=p;
            cat=1;
    }
    q*=cat;
    p=exp;
    e=10009676334;
    s=1;
    long long res=0;
    while(s<=e)
    {
               int nr=0;
               long long mij=(s+e)/2;
               long long div=p;
               while(div<=mij)
               {
                            nr+=mij/div;
                            div*=p;
               }
               if(nr>=q)
               {
                        e=mij-1;
                        res=mij;
               }                
               else s=mij+1;        
    }
    printf("%d\n",res);
}