  The classical Littlewood-Richardson rule is a rule for computing coefficients
in many areas, and comes in many guises. In this paper we prove two
Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
that are analogous to the famed version of the classical Littlewood-Richardson
rule involving Yamanouchi words. Furthermore, both our rules contain this
classical Littlewood-Richardson rule as a special case. We then apply our rules
to combinatorially classify symmetric skew quasisymmetric Schur functions. This
answers affirmatively a conjecture of Bessenrodt, Luoto and van Willigenburg.
