I would expect patterns to be visible.
smallest multiples of N primes will AFAICT necessarily grow in a sequence that amounts to multiplying the smallest N primes:
2
2.3 = 6
2.3.5 = 30
2.3.5.7 = 210
2.3.5.7.11 = 2310
2.3.5.7.11.13 = 30030
2.3.5.7.11.13.17 = 510510
2.3.5.7.11.13.17.19 = 9699690
you can't satisfy the constraint of unique prime factors otherwise, and putting in any larger prime instead wouldn't get you the smallest multiple
so the numbers in the sequence grow exactly as the series of primes determines