# Calculate the Least Common Multiple or LCM of 14, 8, 37, 100 and 58

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The instructions to find the LCM of 14, 8, 37, 100 and 58 are the next:

## 1. Decompose all numbers into prime factors

14 | 2 |

7 | 7 |

1 |

8 | 2 |

4 | 2 |

2 | 2 |

1 |

37 | 37 |

1 |

100 | 2 |

50 | 2 |

25 | 5 |

5 | 5 |

1 |

58 | 2 |

29 | 29 |

1 |

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

Prime factors of 14 | = | 2 . 7 |

Prime factors of 8 | = | 2^{3} |

Prime factors of 37 | = | 37 |

Prime factors of 100 | = | 2^{2} . 5^{2} |

Prime factors of 58 | = | 2 . 29 |

## 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 , 7 , 37 , 5 , 29

Uncommon prime factors with the greatest exponent: 2^{3}, 7^{1}, 37^{1}, 5^{2}, 29^{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^{3}. 7^{1}. 37^{1}. 5^{2}. 29^{1} = 1502200

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