The LCM of a^k,a^{k + 3}, a^{k + 5} where is

Given three polynomials: a^k , a^{k + 3} and a^{k + 5}

Required: To find LCM of the given two polynomials

Let f(x) = a^k , g(x) = a^{k + 3} and h(x) = a^{k + 5}

here,

f(x) = a^k

⇒f(x) = a^k

g(x) = a^{k + 3}

⇒g(x) = a^k ×a³

h(x) = a^{k + 5}

⇒h(x) = a^k ×a^{3 + 2} = a^k×a³×a²

∴ LCM = a^k×a³×a² = a^{k + 5}

∴ Correct Option is - Option (D)