c) 20
As we know, the smallest two-digit composite number is 10 and the smallest composite number is 4.
By prime factorisation, we get;
4 = 1 × 2 × 210 = 1 × 2 × 5
Now, LCM of 4,10 = 2 × 2 × 5 = 20
Therefore, the LCM of the smallest two-digit composite number and the smallest composite number is 20.