Treasure Hunt - Question 12

When you come back to your camp, you are surprised to see Sourashish fiddling with a piece of scrap metal. “What'cha doing 'ere?"
“Leads to ye power!" he replied in excitement. You have to look at it now. Wait ... this puzzle gives some sort of deja vu, nah?

Find the least positive integer $n$ such that any three consecutive integers strictly greater than $n$ always have the property that at least one of them are divisible by at least two distinct prime numbers.