Find the smallest positive integer n so that 14n, 16n, 18n, and 20n all have the same number of divisors.
Hint: Find the factors then find the LCM.
This is the lcm of (14, 16, 18, 20) .
The prime factorization will be 7 x 2^8 x 3^2 x 5. We can strip a lot of factors from this.
This is just 7 x 16 x 9 x 5 which is 7! or 5040
+537 
