Smallest multiple : Euler Project

Smallest multiple : 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?

The answer to this problem is to find the l.c.m of the numbers 1,2,3,.......,18,19,20

Python Code

def smallestMultiple():
    lcm = 2
    tup = [0 for i in range(20)]
    for i in range(20):
        tup[i] = i+1
    while lcm > 1:
        count = 0
        for i in range(20):
            if lcm%tup[i] == 0:
                count = count+1
            else:
                break   
        if count != 20:
            lcm = lcm+1       
        else:
            break
    print lcm
smallestMultiple()