# Calculate the Least Common Multiple or LCM of 20, 58, 19 and 3

Sponsors

The instructions to find the LCM of 20, 58, 19 and 3 are the next:

## 1. Decompose all numbers into prime factors

20 | 2 |

10 | 2 |

5 | 5 |

1 |

58 | 2 |

29 | 29 |

1 |

19 | 19 |

1 |

3 | 3 |

1 |

## 2. Write all numbers as the product of its prime factors

Prime factors of 20 | = | 2^{2} . 5 |

Prime factors of 58 | = | 2 . 29 |

Prime factors of 19 | = | 19 |

Prime factors of 3 | = | 3 |

## 3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 2 , 5 , 29 , 19 , 3

Uncommon prime factors with the greatest exponent: 2^{2}, 5^{1}, 29^{1}, 19^{1}, 3^{1}

## 4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

**LCM** = 2^{2}. 5^{1}. 29^{1}. 19^{1}. 3^{1} = 33060

Also calculates the: