3d Geometry

If the shortest distance between the straight lines \(3(x - 1) = 6(y - 2) = 2(z - 1)\) and \(4(x - 2) = 2(y - \lambda ) = (z - 3),\lambda \in R\) is \({1 \over {\sqrt {38} }}\), then the integral value of \(\lambda\) is equal to :