freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-347-largest-integer-divisible-by-two-primes.md

id, title, challengeType, forumTopicId

id	title	challengeType	forumTopicId
5900f4c81000cf542c50ffd9	Problem 347: Largest integer divisible by two primes	5	302006

--description--

The largest integer ≤ 100 that is only divisible by both the primes 2 and 3 is 96, as 96=32*3=25*3.

For two distinct primes p and q let M(p,q,N) be the largest positive integer ≤N only divisible

by both p and q and M(p,q,N)=0 if such a positive integer does not exist.

E.g. M(2,3,100)=96. M(3,5,100)=75 and not 90 because 90 is divisible by 2 ,3 and 5. Also M(2,73,100)=0 because there does not exist a positive integer ≤ 100 that is divisible by both 2 and 73.

Let S(N) be the sum of all distinct M(p,q,N). S(100)=2262.

Find S(10 000 000).

--hints--

euler347() should return 11109800204052.

assert.strictEqual(euler347(), 11109800204052);

--seed--

--seed-contents--

function euler347() {

  return true;
}

euler347();

--solutions--

// solution required