Distinct primes factors

The first two consecutive numbers to have two distinct prime factors are:

14 = 2 × 715 = 3 × 5

The first three consecutive numbers to have three distinct prime factors are:

644 = 2² × 7 × 23645 = 3 × 5 × 43646 = 2 × 17 × 19.

Find the first four consecutive integers to have four distinct prime factors each. What is the first of these numbers?

Written by gamwe6 who lives and works in San Francisco building useful things. You should follow him on Twitter