from collections import defaultdict from collections import Counter from itertools import chain def prime_sieve(N): #sieve[i] : iの最小の素因数 sieve = [0] * (N + 1) prime = [] for i in range(2, N + 1): if sieve[i] == 0: sieve[i] = i prime.append(i) for p in prime: if p > sieve[i] or i * p > N: break sieve[i * p] = p return sieve def prime_set(N): """ Nまでの素数のsetを返す """ if N < 4: return ({}, {}, {2}, {2, 3})[N] Nsq = int(N ** 0.5 + 0.5) + 1 primes = {2, 3} | set(chain(range(5, N + 1, 6), range(7, N + 1, 6))) for i in range(5, Nsq, 2): if i in primes: primes -= set(range(i * i, N + 1, i * 2)) return sorted(primes) def get_primefactor(N): sieve = prime_sieve(N+10) pf = [] while sieve[N]: pf.append(sieve[N]) N, m = divmod(N, sieve[N]) return pf N, K = map(int, input().split()) cnt = Counter(get_primefactor(N)) # まずはK個素因数を割り当て ans = 1 get = defaultdict(int) while K: for key in sorted(cnt.keys()): if cnt[key]: ans *= key cnt[key] -= 1 get[key] += 1 K -= 1 if not K: break primes = prime_set(10**5+1) for P in range(1, 20): for pr in primes: if ans * pr >= N: break if get[pr] >= P: continue get[pr] += 1 ans *= pr print(ans)