How can i make eggless buttercream icing which has no grainy taxture?

Just use butter, shortening and icing sugar to a strong tooth paste like texture

Just icing sugar butter and whipping till u get the correct texture. if too thick just add a few drops of milk and whisk again

Check out this link for an eggless butter cream icing...http://nimmyskitchen.blogspot.in/2013/01/butter-cream-icing.html

Your answere to smooth eggless buttercream..........the best way to make non granny buttercream SWIFT ICING SUGAR FOR ATLEAST 3TO 4 TIMES. this will make you 21/2 cup of buttercream
ingredient
41/2 CUPS OF ICING SUGAR
,I/2 CUP BUTTER
,1/2 CUP HIGH RATIO SHORTENING
,3-4 tsp water
,1tsp lemon juice opotional,
1tsp vanila extract.
.1)......swift your icing sugar atleast four times,
2) beat butter and shortening till fluffy
3)add swifted icing sugar to the mixer of butter and shortening half a cup at a time and beat well
4)repeat the process till all the sugar is addae to the mixture
5)add vanila extract and lemon juice,and water and mix well............
YOUR BUTTER CREAM IS READY
now see if you need more runny buttercream add some more water its all up to you ...
TRY THIS RECIPE AND LET ME KNOW