#include<stdio.h>
int gcd(int a,int b )
{
int t=a%b;
while(t){
a=b;
b=t;
t=a%b;
}
return b;
}
int main()
{
int n,a,b,c,i;
scanf("%d",&n);
while( n -- ){
scanf("%d %d",&a,&b);
for(i=2*b; ;i+=b)
if(b==gcd(a, i))
break;
printf("%d\n",i);
}
}