import sys
input = sys.stdin.readline

from math import gcd

A,B,K=map(int,input().split())

LCM=A*B//gcd(A,B)
# LCMまでで、LCM//A+LCM//B - 1個

xx=LCM//A+LCM//B-1
q,r=divmod(K,xx)

OK=LCM
NG=-1

while OK>NG+1:
    mid=(OK+NG)//2

    if mid//A+mid//B>=r:
        OK=mid
    else:
        NG=mid

print(q*LCM+OK)