import math
def factorize(n):
    d = {}
    temp = int(math.sqrt(n))+1
    for i in range(2, temp):
        while n%i== 0:
            n //= i
            if i in d:
                d[i] += 1
            else:
                d[i] = 1
    if d == {}:
        d[n] = 1
    else:
        if n in d:
            d[n] += 1
        elif n != 1:
            d[n] =1
    return d

n, k, m = map(int, input().split())

D = factorize(m)
ans = 10**18
for p, q in D.items():
    x = p
    cnt = 0
    while x <= n:
        cnt += n//x-(n-k)//x
        cnt -= k//x
        x *= p
    ans = min(ans, cnt//q)
print(ans)