How to return the value of AUTO INCREMENT column in SQLite with VB6

I have a table in SQLite:

CREATE TABLE "EventType" 
(
[EventTypeID] INTEGER PRIMARY KEY, 
[EventTypeName] VARCHAR(50) NOT NULL UNIQUE
);

Since EventTypeID is an integer and a primary key, that automatically makes it an auto-incrementing column, and that works fine.

I'd like to insert a row into the table and get the newly incremented value from VB6.

Dim oRs as Recordset
dim oCmd as new Command

oCmd.ActiveConnection = GetConnection()
oCmd.Source = "insert into EventType (EventTypeName) values ('blah')"
oCmd.Execute

Is there an automatic way to retrieve the newly created EventTypeID without having to issue another query (select max(EventTypeID) from EventType))?

I seem to remember from VB6 days long time ago, that there was a way to do that.