Distinct primes factors

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

$$ 14 = 2 × 7\ 15 = 3 × 5 $$

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

$$ 644 = 2^2 × 7 × 23\ 645 = 3 × 5 × 43\ 646 = 2 × 17 × 19 $$

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

Source: https://projecteuler.net/problem=47