#include <iostream>
#include <cstdio>
using namespace std;
FILE *f,*g;
int p,q,i,mx,cexp;
unsigned short exp[899999999];
bool ok;
int main()
{
    f=fopen("gfact.in","r");
    g=fopen("gfact.out","w");
    fscanf(f,"%d%d",&p,&q);
    int c=p;
    for(i=2;i<=p;i++)
    {
        while(p%i==0)
        {
            p/=i;
            exp[i]++;
        }
        exp[i]*=q;
        if(exp[i])
            mx=i;
    }
 /*   for(i=1;i<=c;i++)
        fprintf(g,"%d\n",exp[i]);*/
    i=mx;
    cexp=1;
    while(ok==0)
    {
        i+=mx;
        if(i%mx==0)
        {
            c=i;
            while(c%mx==0)
            {
                c/=mx;
                cexp++;
            }
            if(cexp>=exp[mx])
            {
                ok=1;
                break;
            }
        }
    }
    fprintf(g,"%d",i);
    fclose(f);
    fclose(g);
    return 0;
}