## Least Common Multiple

Table of Contents

## Common Multiple

A common Multiple number is a multiple of two or more numbers.

### Example

Multiple of 3 and 4:

Number | Multiples |

3 | 3, 6, 9, 12, 15, 18, 21, 24, … |

4 | 4, 8, 12, 16, 20, 24, … |

So, the common multiples of 3 and 4 are: 12, 24, …

## Least Common Multiple

Least Common Multiple is smallest positive number that is a multiple of two or more numbers. It is simply the smallest of common multiples.

From the previous example, the Least Common Multiple of 3 and 4 is 12

### Example

With 3 Numbers

Number | Multiples |

2 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, … |

3 | 3, 6, 9, 12, 15, 18, 21, 24, … |

6 | 6, 12, 18, 24, … |

The Least Common Multiple of 2, 3, and 6 is 6