The Scots finally ended their decade of failure against France with a comprehensive victory over Les Bleus at Murrayfield.
But Laidlaw wants his men to banish the memories of nine straight defeats by extending their winning run to three matches when they take on Ireland in next Saturday’s closing clash.
He said: “We want to finish the tournament strongly next week. It’s great for everyone.
“It’s a big stepping stone for this team. Against England we were disappointed in a few areas but then against Wales we weren’t playing a bad team and only lost by four points.
France and their muscle-bound team came to Murrayfield looking to throw not only their weight about but also the ball.
They scored an impressive try just five minutes in, leaving it to skipper Guilhem Guirado to score.
But Scotland responded with vigour. A couple of kicks from Laidlaw put them in front before Stuart Hogg danced his way over for Scotland’s opening touchdown.
When Duncan Taylor scampered 50 yards down the touchline to add another, Scottish hopes of a first win over France since 2006 rose.
Gael Fickou did trim the lead back with a try right on half-time but the boot of Laidlaw and another score from Tim Visser with 13 minutes left kept the visitors at arms length.
Scotland lost Finn Russell after a sickening head injury just moments after kick-off but head coach Vern Cotter hopes to have him back in time for their jaunt across the Irish Sea.
Hogg, Seymour, Taylor, Dunbar, Visser, Russell, Laidlaw, Dickinson, Ford, Nel, R. Gray, J. Gray, Barclay, Hardie, Strauss.
Horne for Russell (5), McInally for Ford (67), Low for Nel (72), Swinson for R. Gray (77), Wilson for Strauss (61).
Sutherland, Hidalgo-Clyne, Lamont.
Spedding, Fofana, Fickou, Mermoz, Vakatawa, Trinh-Duc, Machenaud, Poirot, Guirado, Slimani, Flanquart, Maestri, Camara, Lauret, Chouly.
Medard for Mermoz (68), Plisson for Trinh-Duc (68), Bezy for Machenaud (74), Atonio for Poirot (61), Chat for Guirado (69), Pelo for Slimani (61), Vahaamahina for Flanquart (51), Goujon for Camara (64).
Glen Jackson (New Zealand).