npm package: @stdlib/math-base-special-lcm
Description: Compute the least common multiple (lcm).
Author: The Stdlib Authors
Latest version: 0.3.1

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# lcm

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> Compute the [least common multiple][lcm] (lcm).

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<section class="intro">

The [least common multiple][lcm] (lcm) of two non-zero integers `a` and `b` is the smallest positive integer that is divisible by both `a` and `b`. The lcm is also known as the **lowest common multiple** or **smallest common multiple** and finds common use in calculating the **lowest common denominator** (lcd).

</section>

<!-- /.intro -->

<!-- Package usage documentation. -->

<section class="installation">

## Installation

```bash
npm install @stdlib/math-base-special-lcm
```

</section>

<section class="usage">

## Usage

```javascript
var lcm = require( '@stdlib/math-base-special-lcm' );
```

#### lcm( a, b )

Computes the [least common multiple][lcm] (lcm).

```javascript
var v = lcm( 48, 18 );
// returns 144
```

If either `a` or `b` is `0`, the function returns `0`.

```javascript
var v = lcm( 0, 0 );
// returns 0

v = lcm( 2, 0 );
// returns 0

v = lcm( 0, 3 );
// returns 0
```

Both `a` and `b` must have integer values; otherwise, the function returns `NaN`.

```javascript
var v = lcm( 3.14, 18 );
// returns NaN

v = lcm( 48, 3.14 );
// returns NaN

v = lcm( NaN, 18 );
// returns NaN

v = lcm( 48, NaN );
// returns NaN
```

</section>

<!-- /.usage -->

<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

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<!-- Package usage examples. -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var lcm = require( '@stdlib/math-base-special-lcm' );

var opts = {
    'dtype': 'float64'
};
var a = discreteUniform( 100, 0, 50, opts );
var b = discreteUniform( 100, 0, 50, opts );

logEachMap( 'lcm(%0.4f,%0.4f) = %0.4f', a, b, lcm );
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

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<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/math/base/special/lcm.h"
```

#### stdlib_base_lcm( a, b )

Computes the [least common multiple][lcm] (lcm).

```c
double v = stdlib_base_lcm( 48.0, 18.0 );
// returns 144.0
```

The function accepts the following arguments:

-   **a**: `[in] double` input value.
-   **b**: `[in] double` input value.

```c
double stdlib_base_lcm( const double a, const double b );
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

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<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
#include "stdlib/math/base/special/lcm.h"
#include <stdio.h>

int main( void ) {
    const double a[] = { 24.0, 32.0, 48.0, 116.0, 33.0 };
    const double b[] = { 12.0, 6.0, 15.0, 52.0, 22.0 };

    double out;
    int i;
    for ( i = 0; i < 5; i++ ) {
        out = stdlib_base_lcm( a[ i ], b[ i ] );
        printf( "lcm(%lf, %lf) = %lf\n", a[ i ], b[ i ], out );
    }
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

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</section>

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<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/math-base/special/gcd`][@stdlib/math/base/special/gcd]</span><span class="delimiter">: </span><span class="description">compute the greatest common divisor (gcd).</span>

</section>

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[lcm]: https://en.wikipedia.org/wiki/Least_common_multiple

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