---
id: 5900f4e81000cf542c50fffa
title: 'Problem 379: Least common multiple count'
challengeType: 5
forumTopicId: 302041
dashedName: 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) = ∑ f(i) for 1 ≤ i ≤ n.

You are given that g(106) = 37429395.

Find g(1012).

# --hints--

`euler379()` should return 132314136838185.

```js
assert.strictEqual(euler379(), 132314136838185);
```

# --seed--

## --seed-contents--

```js
function euler379() {

  return true;
}

euler379();
```

# --solutions--

```js
// solution required
```
