#include <bits/stdc++.h>
using namespace std;
#define int long long
int n,m;
int a[300005],b[300005];
bool check(int x){
int cnt=0;
for(int i=1;i<=n;i++){
if(a[i]<=b[i]) cnt+=(x+b[i]-1)/b[i];
else{
if(a[i]*m>=x) cnt+=(x+a[i]-1)/a[i];
else{
int k=x-a[i]*m;
cnt+=m;
cnt+=(k+b[i]-1)/b[i];
}
}
if(cnt>n*m) return false;
}
return true;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
for(int i=1;i<=n;i++) cin >> a[i];
for(int i=1;i<=n;i++) cin >> b[i];
int l=0,r=1e18;
int ans=0;
while(l<=r){
int mid=(l+r)/2;
if(check(mid)){
ans=mid;
l=mid+1;
}
else r=mid-1;
}
cout << ans;
return 0;
}
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