Smallest even multiple of integers 1 to 20

count = 720720 #LCM of integers 1-20
divisors = [11,12,13,14,15,16,17,18,19,20] #Remove factors  of integers 1-20 from the list of integers 1-20
while True:
    if (count % divisors[0] == 0 and count % divisors[1] == 0 and count % divisors[2] == 0 and count % divisors[3] == 0 and count % divisors[4] == 0 and count % divisors[5] == 0 and count % divisors[6] == 0 and count % divisors[7] == 0 and count % divisors[8] == 0 and count % divisors[9] == 0):
        break
    else:
        count = (count + 2) #Increase count by 2 to avoid odd numbers
print(count)