We　investigate　the　joint　effects　of　the　intralead　electron　interaction　and　Coulombic　dot-lead　interaction　on　the　shot　noise　of　a　quantum　dot　coupled　to　Luttinger　liquid　leads.　A　formula　of　the　shot　noise　is　derived　by　applying　the　nonequilibrium　Green　function　technique.　The　shot　noise　is　enhanced　by　the　dot-lead　interaction.　For　a　weak　or　moderately　strong　interaction　the　differential　shot　noise　demonstrates　resonant-like　behavior　as　a　function　of　bias　and　gate　voltages.　In　the　limit　of　strong　interaction　resonant　behavior　disappears　and　the　differential　shot　noise　and　Fano　factor　scale　as　a　power　law　in　bias　voltage.　Under　some　parameters,　the　differential　shot　noise　may　become　negative　around　resonant　peaks,　and　the　physical　reason　is　analyzed.　(C)　2013　Elsevier　B.V.　All　rights　reserved.