from collections import Counter
from functools import reduce
import util

target = 232792560

def divisible(rng):
    factors = None

    for num in rng:
        nums = util.find_prime_factors(num)
        count = Counter(nums)

        if (factors == None):
            factors = count
        else:
            for key, value in count.items():
                if (not factors[key] or value > factors[key]):
                    factors[key] = value

    return factors


factors = divisible(range(1, 21))

result = 1

for key, value in factors.items():
    result *= key ** value

print(result)
print(result == target)