Both counties got off to a flying start against Carlow and Meath respectively.
Laois and Westmeath kicked off their All Ireland Intermediate Camogie Championships campaigns with wins on Sunday.
Laois proved too strong for the challenge of Carlow as they secured a 3-15 to 2-9 win in O'Moore Park.
Aimee Collier finished the game as top scorer with 2-5, with Kaylee O'Keefe also impressing with 1-2.
Westmeath defeated Meath away from home as they claimed a 4-13 to 1-12 win.
Megan Dowdall was the main scorer for the Lake County as she contributed 3-7, while Roisin Heaney finished with 1-7 for her side.
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