The VM500 series and VM700 series cartridges are compatible with the AT-LH13H as long as the tone-arm that it's being mounted to can balance approximately 20g (with fastenings).

Otherwise, because the azimuth and overhang can be adjusted at the connector end, perfect alignment can be achieved and the two models are perfectly suited.

To show how the headshell can be adjusted, we have included a document with the dimensions of the AT-LHXXH range of headshells to this article: AT-LHxxH Dimensions.pdf