Question

the smallest positive integer K such that( K - 10) 4034>= 2017 is aa then the value of a is

Answer 1

k = 16016004

Factorize (2000)(2001)

(2 x 10 x 10 x 10)(3 x 667)

2 x 3 x 10 x 10 x 10 x 667

The smallest cube including all the same factors is

2 x 2 x 2 x 3 x 3 x 3 x 10 x 10 x 10 x 667 x 667 x 667

thus

k = 2 x 2 x 3 x 3 x 667 x 667

k = 16016004