Time is taken by Raman to complete one round of field = 18 min.

Time is taken by Anupriya to complete one round of field = 12 min.

They will meet again at staring point = L.C.M. (18, 12)

Prime factors of 18 and 12

18 = 2 × 3 × 3 = 2 × 3^{2}

12 = 2 × 2 × 3 = 2^{2} × 3

L.C.M. (18, 12) = 2^{2} × 3^{2} = 4 × 9 = 36

Hence, Raman and Anupriya will be meet after 36 minute at starting point.