<Dd> lim N → ∞ f (N) N (N + 1) / 2 = 1 . (\ displaystyle \ lim _ (N \ to \ infty) (\ frac (f (N)) (N (N + 1) / 2)) = 1 .) </Dd> <P> Since the number of binomial coefficients (n k) (\ displaystyle (\ tbinom (n) (k))) with n <N is N (N + 1) / 2, this implies that the density of binomial coefficients divisible by d goes to 1 . </P> <P> Binomial coefficients have divisibility properties related to least common multiples of consecutive integers . For example: </P> <P> (n + k k) (\ displaystyle (\ binom (n + k) (k))) divides lcm (n, n + 1,..., n + k) n (\ displaystyle (\ frac ((\ text (lcm)) (n, n + 1, \ ldots, n + k)) (n))). </P>

What is the value of m in the equation when n = 8 20