Let S be the numerical semigroup generated by, where the siare positive integers with. Let I be a relative ideal of S Then the dual of I is. Let μ· denote the size of a minimal generating set. A question motivated by the study of torsion in tensor products is under what conditions on S and I do we have the strict inequality μ(I + (S – I)) < μ(I)μ(S –I) Specifically, what is the smallest multiplicity of S, that is, the smallest value of s1for which equality can hold for some non-principal relative ideal I. We will examine this question in the case μ(I) = μ(S – I) = 2 and see that the smallest multiplicity is ten.