Glasgow were rocking now and Leinster were soon across the line again as prop Clarkson powered over despite the attentions of a clutch of Warriors off the back of a scrum.
Sheehan added another try on the stroke of half-time, powering over behind a ruck following a line-out close to the line, to give the Irish side a 20-point advantage at the break.
The gap would have been wider had Prendergast been more accurate with the boot, but with Glasgow pinned back in their own half after the restart, the fly-half made no mistake after Osborne dived over for his second try near the posts.
Replacement fly-half Frawley added another try in the corner before weaving finishes from Dobie and Tuipulotu made the scoreline more respectable for the visitors.
Leinster: Jimmy O’Brien; Tommy O’Brien, Jamie Osborne, Jordie Barrett, James Lowe; Sam Prendergast, Jamison Gibson-Park; Andrew Porter, Dan Sheehan, Thomas Clarkson, Joe McCarthy, James Ryan, Ryan Baird, Scott Penny, Jack Conan (capt).
Replacements: Ronan Kelleher, Jack Boyle, Rabah Slimani, RG Snyman, Max Deegan, Luke McGrath, Ross Byrne, Ciaran Frawley.
Glasgow Warriors: Josh McKay; Kyle Steyn (capt), Sione Tuipulotu, Tom Jordan, Kyle Rowe; Adam Hastings, George Horne; Jamie Bhatti, George Hiddleston, Fin Richardson, Alex Samuel, Scott Cummings, Euan Ferrie, Rory Darge, Henco Venter.
Replacements: Johnny Matthews, Rory Sutherland, Sam Talakai, Max Williamson, Jack Mann, Macenzzie Duncan, Stafford McDowall, Jamie Dobie.
Referee: Andrea Piardi (Italy).
BBC News
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