Which should you buy first?
Buy against your most expensive failure. If audits and customer questionnaires consume weeks because evidence is scattered, the constraint is the quality system, so QMS first. If testing is slow, results live in spreadsheets and nobody can say whether a batch passed against the current specification, the constraint is the laboratory, so LIMS first.
In a cosmetics or chemicals business, the release decision usually decides it. If the lab produces results but the release question has to be answered by hand across two systems, the gap between them is where your risk sits, and either order works only if the boundary is closed.
