A,B,K = map(int,input().split())
def gcd(a,b):
    if b==0:return a
    return gcd(b,a%b)
d = gcd(A,B)
C = A*B//d
high = 2*K
low = 0
while high-low>1:
    mid = (high+low)//2
    a = A*mid
    na = mid
    nb = a//B
    nc = a//C
    k = na+nb-nc
    if k>=K:
        high = mid
    else:
        low = mid
ka = high
high = 2*K
low = 0
while high-low>1:
    mid = (high+low)//2
    b = B*mid
    na = b//A
    nb = mid
    nc = b//C
    k = na+nb-nc
    if k>=K:
        high = mid
    else:
        low = mid
kb = high
a = A*ka
na = ka
nb = a//B
nc = a//C
if na+nb-nc==K:
    print(a)
else:
    print(B*kb)