#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i, n) for (ll i = 0; i < (ll)(n); i++)
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
ll lcm(ll a, ll b){return a * b / gcd(a, b);}

int main(){
    ll a,b,k;
    cin>>a>>b>>k;
    ll n=lcm(a,b);
    map<ll,int> x;
    for(int i=1;i<=n/a;i++){
        if(a<=n/i)x[a*i]++;
        else break;
    }
    for(int i=1;i<=n/b;i++){
        if(b<=n/i)x[b*i]++;
        else break;
    }
    x[n]++;
    //cout<<n<<" "<<x.size()<<" ";
    if(k<=x.size()){
        int cnt=0;
        for(auto p:x){
            cnt++;
            if(k==cnt){
              cout<<p.first<<endl;
            }
        }
    }else{
        ll amari=k%x.size();
        ll bai=k/x.size();
        int cnt=0;
        for(auto p:x){
            cnt++;
            if(amari==cnt){
              cout<<bai*n+p.first<<endl;
            }
        }
    }
    /*cout<<x.size();
    for(auto p8:x)cout<<p.first<<" ";*/
    return 0;
}