"""
Simon Milburn

Problem 5: 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.

What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
"""

def gcd(a, b):
	return b and gcd (b, a%b) or a 

def lcm(a, b): 
	return a*b/ gcd(a,b)

n=1

for i in range(1,21):
	n = lcm(n,i)

print n