A bit late, I know, but you can use custom stored procedures in SSAS to expose this information through regular members.
with member [Measures].[LastProcessed] as ASSP.GetCubeLastProcessedDate() select [Measures].[LastProcessed] on 0 from [Your Cube]
They are available from CodePex: Analysis Services Stored Procedure Project ,
using System; using System.Collections.Generic; using System.Text; using Microsoft.AnalysisServices.AdomdServer; using Microsoft.AnalysisServices;
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