#include <bits/stdc++.h>
using namespace std;
const long long MX=3e5+10;
long long n,m,a[MX],b[MX];
bool chk(long long zn)
{
long long s=0;
for(long long i=1;i<=n;i++)
{
if(a[i]*m>=zn)
{
s+=(zn+a[i]-1)/a[i];
}
else
{
s+=m+(zn-a[i]*m+b[i]-1)/b[i];
}
if(s>n*m)
{
return 0;
}
}
return 1;
}
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
cin>>n>>m;
for(long long i=1;i<=n;i++)
{
cin>>a[i];
}
for(long long i=1;i<=n;i++)
{
cin>>b[i];
a[i]=max(a[i],b[i]);
}
long long l=0,r=1e18+1;
while(l+1<r)
{
long long mid=(l+r)/2;
if(chk(mid))
{
l=mid;
}
else
{
r=mid;
}
}
cout<<l<<"\n";
return 0;
}
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