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row major vs column major and multiply direction

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When I am using matrices in my opengl program I have been doing multiples left to right.

 

so say M is my original matrix. if i want to apply a rotation to M i would multiple the rotation matrix R to M in this fation

 

 Mrotated =M*R

 

does it mater whether I am using a row major system vs column major system when it come to the direction of my multiply? meaning

 

this, applying a rotation to M:      M*R

 

versus

 

this, applying a rotation to M:      R*M

 

 

or are these two separate issues?

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