The product $$8\mathbin{\times}9\mathbin{\times}10\mathbin{\times}11\mathbin{\times}12\mathbin{\times}13\mathbin{\times}14$$ can also be written as a product of another sequence of consecutive positive integers. The smallest number in that product is

Factorising or multiplying shows $$8\mathbin{\times}9\mathbin{\times}10\mathbin{\times}11\mathbin{\times}12\mathbin{\times}13\mathbin{\times}14=17297280$$. Also, $$63\mathbin{\times}64\mathbin{\times}65\mathbin{\times}66=17297280$$. Thus the alternate consecutive product begins with $$63$$.