import java.io.*;
import java.util.*;
import java.util.function.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int a = sc.nextInt();
        int b = sc.nextInt();
        int k = sc.nextInt();
        long lcm = getLCM(a, b);
        long left = 1;
        long right = Long.MAX_VALUE / 2;
        while (right - left > 1) {
            long m = (left + right) / 2;
            long count = m / a + m / b - m / lcm;
            if (count < k) {
                left = m;
            } else {
                right = m;
            }
        }
        System.out.println(right);
    }
    
    static long getLCM(long a, long b) {
        return a / getGCD(a, b) * b;
    }
    
    static long getGCD(long a, long b) {
        if (b == 0) {
            return a;
        } else {
            return getGCD(b, a % b);
        }
    }
}
class Scanner {
    BufferedReader br;
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() {
        try {
            br = new BufferedReader(new InputStreamReader(System.in));
        } catch (Exception e) {
            
        }
    }
    
    public int nextInt() {
        return Integer.parseInt(next());
    }
    
    public long nextLong() {
        return Long.parseLong(next());
    }
    
    public double nextDouble() {
        return Double.parseDouble(next());
    }
    
    public String next() {
        try {
            while (!st.hasMoreTokens()) {
                st = new StringTokenizer(br.readLine());
            }
        } catch (Exception e) {
            e.printStackTrace();
        } finally {
            return st.nextToken();
        }
    }
    
}