Boston would host a medical marijuana dispensary in the heart of the city if regulators approve either of two licenses sought by companies that want to run the facilities.

The state is set to issue licenses in early November. Suffolk County could get from zero to two dispensaries.

One application, from Patriot Care, would but a dispensary in the middle of the Financial District at 21 Milk St. Patriot Care states in a license application that to hold the property it agreed to pay $10,000 in September, $12,000 in October and $15,000 in November.

If Patriot prevails, according to its application, the lease for 6,190 square feet of space — 3,407 is at street level and the rest is below — would cost $47 per square foot in the first year and slightly more for each of the following four years. The landlord would be MM Growth LLC.

The second application for a downtown Boston license, from Mass Medicum Corp., would put a dispensary at 57 Stuart St. in an area of nightclubs and restaurants across the street from the Wilbur Theater.

Mass Medicum states in its application that it would pay starting rent of $18,000 per month to landlord Kai Feung LLC for 2,200 square feet of first-floor space and 500 square feet below.

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