id	title	challengeType	forumTopicId	dashedName
5900f4e81000cf542c50fffa	Problem 379: Least common multiple count	5	302041	problem-379-least-common-multiple-count

--description--

Let f(n) be the number of couples (x, y) with x and y positive integers, x ≤ y and the least common multiple of x and y equal to n.

Let g be the summatory function of f, i.e.: g(n) = \sum f(i) for 1 ≤ i ≤ n.

You are given that g({10}^6) = 37\\,429\\,395.

Find g({10}^{12}).

--hints--

leastCommonMultipleCount() should return 132314136838185.

assert.strictEqual(leastCommonMultipleCount(), 132314136838185);

function leastCommonMultipleCount() {

  return true;
}

leastCommonMultipleCount();

// solution required