How to name your company vs your product?

What are the pros and cons of having the same company and product name?,

I kind of started registering a Delaware LLC, with the same name as my first SaaS service, I could have others SaaS too in near to mid term, wanted to know if I should have them as different names.

Where all does the company name appear? Could it be confusing for my potential future SaaS services? What do you guys do and what is the preferred approach in the community.