AMC 10A 2022 Problem 19

Define L_{n} as the least common multiple of all the integers from 1 to n inclusive. There is a unique integer h such that

\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}+\cdots+\dfrac{1}{17}=\dfrac{h}{L_{17}}

What is the remainder when h is divided by 17?

Answer Choices
A. 1
B. 3
C. 5
D. 7
E. 9