def prime(num):
# create dictionary of prime factors with counts
  factor = 2
  factors = {}
  while num > 1:
    if num % factor == 0:
      if factor not in factors:
        factors[factor] = 1
      else:
        factors[factor] += 1
      num /= factor
    else:
      factor += 1
  return factors

def main():
  # Find target number by multiplying prime factors together to find number divisible by all positive numbers <= divisor
  divisor = 10000
  i = 2
  prime_factor_count = {}
  while divisor > 1:
    add_factor_count = prime(divisor)
    for factor in add_factor_count:
      if factor not in prime_factor_count or add_factor_count[factor] > prime_factor_count[factor]:
        prime_factor_count[factor] = add_factor_count[factor]
    divisor -= 1
  target = 1
  for factor in prime_factor_count:
    target *= factor ** prime_factor_count[factor]
  print target

main()