The register
The register lists LMK Logistics in Strood as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. The register records its rating as Worker (A rating).
Companies House lists it as Lmk Logistics Limited, number 13340375, incorporated 2021: 5 years of filings behind the name. The registered office is at T/A Lovedeep Couriers Unit 42, Space Business Centre, Knight Road, Rochester, ME2 2BF, ME2 2BF. Its filed activity puts it in transport and logistics.
Holding a licence is the expensive, slow part done. For LMK Logistics the question each time is only whether the role and the pay fit the current rules, and that is checked per vacancy.