The　interplay　of　intralead　and　dot-lead　Coulomb　interactions　on　shot　noise　of　a　quantum　dot　coupled　to　Luttinger-liquid　leads　is　systematically　investigated　in　the　Kondo　regime.　By　equation　of　motion　and　canonical　transformation　methods,　a　general　shot　noise　formula　with　transmission　coefficient　is　derived,　the　factors　of　the　above　two　types　of　interactions　and　on-dot　Coulomb　interaction　being　taken　into　account.　Then　we　study　in　detail　the　shot　noise　and　Fano　factor　as　a　function　of　bias　voltage.　Numerical　results　show　for　weak　and　moderately　strong　intralead　Coulomb　interactions,　the　dot-lead　interaction　not　only　helps　to　improve　the　shot　noise,　but　also　narrows　the　zero-bias　Kondo　dip.　A　series　of　polaron　peaks　appear　in　the　differential　shot　noise　when　the　renormalized　parameter　Y　＜　1,　a　combination　effect　of　the　intralead　and　dot-lead　Coulomb　interactions.　For　Y　＞　1,　a　novel　type　of　excitonic　dips　appear　only　in　the　case　of　moderately　strong　intralead　interaction.　In　the　very　strong　intralead　interaction　limit,　all　features　of　excitonic　peaks　or　dips　disappear,　and　shot　noise　shows　power-law　dependence　on　the　voltage　with　the　renormalized　exponent　Y.　The　Fano　factor　is　always　sub-Poisson　noise　no　matter　whether　Y　is　greater　or　less　than　1.