The Lowest Common Multiple of $$6$$ and $$8$$ is $$24$$.  $$24+3=27$$. 
Olivia is thinking of a two-digit number. She says, "If I divide the number by $$6$$, the remainder is $$3$$. If I divide the number by $$8$$, the remainder is also $$3$$."  What is the smallest possible number that Olivia could be thinking of? 

a. $$24$$ 
b. $$27$$ 
c. $$48$$ 
d. $$51$$ 