High levels of antimicrobial resistance among members of the Klebsiella oxytoca complex (KoC) have led to renewed interest in the use of bacteriophage therapy. In this study we characterized two lytic phages, vB_KmiM-2Di and vB_KmiM-4Dii, that were isolated from sewage water against two GES-5-positive Klebsiella michiganensis strains (PS_Koxy2 and PS_Koxy4, respectively). ViPTree analysis showed both phages belonged to the genus Slopekvirus. rpoB gene-based sequence analysis of 111 presumptive K. oxytoca isolates (n=59 clinical, n=52 veterinary) found K. michiganensis to be more prevalent (46 % clinical and 40 % veterinary, respectively) than K. oxytoca (40 % clinical and 6 % veterinary, respectively). Host range analysis against these 111 isolates found both vB_KmiM-2Di and vB_KmiM-4Dii showed broad lytic activity against KoC species. Several putative homing endonuclease genes were encoded within the genomes of both phages, which may contribute to their broad host range. Pangenome analysis of 24 slopekviruses found that genomes within this genus are highly conserved, with more than 50 % of all predicted coding sequences representing core genes at [≥]95 % identity and [≥]70 % coverage. Given their broad host ranges, our results suggest vB_KmiM-2Di and vB_KmiM-4Dii represent attractive potential therapeutics. In addition, current recommendations for phage-based pangenome analyses may require revision.