# LCM for 153 and 204

## What's the Least Common Multiple (LCM) of 153 and 204?

**Answer:**LCM of

**153 and 204**is

**612**

(Six hundred twelve)

## Finding LCM for 153 and 204 using GCF's of these numbers

The first method to find LCM for numbers 153 and 204 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

**GCF of numbers 153 and 204** is **51**, so

LCM = (153 × 204) ÷ 51

LCM = 31212 ÷ 51

LCM = 612

## Finding LCM for 153 and 204 by Listing Multiples

The second method to find LCM for numbers 153 and 204 is to list out the common multiples for both nubmers and pick the first which matching:

**Multiples of 153**: 153, 306, 459, **612,** 765, 918

**Multiples of 204**: 204, 408, **612,** 816, 1020

So the LCM for 153 and 204 is **612**

## Finding LCM for 153 and 204 by Prime Factorization

Another method to find LCM for numbers 153 and 204 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 153: 3, 3, 17 (exponent form: **3 ^{2}, 17^{1})**

All Prime Factors of 204: 2, 2, 3, 17 (exponent form: **2 ^{2}, 3^{1}, 17^{1})**

3^{2} × 17^{1} × 2^{2} = **612**

## LCM Table

Number 1 | Number 2 | LCM |
---|---|---|

138 | 204 | 4692 |

139 | 204 | 28356 |

140 | 204 | 7140 |

141 | 204 | 9588 |

142 | 204 | 14484 |

143 | 204 | 29172 |

144 | 204 | 2448 |

145 | 204 | 29580 |

146 | 204 | 14892 |

147 | 204 | 9996 |

148 | 204 | 7548 |

149 | 204 | 30396 |

150 | 204 | 5100 |

151 | 204 | 30804 |

152 | 204 | 7752 |

153 | 204 | 612 |

154 | 204 | 15708 |

155 | 204 | 31620 |

156 | 204 | 2652 |

157 | 204 | 32028 |

158 | 204 | 16116 |

159 | 204 | 10812 |

160 | 204 | 8160 |

161 | 204 | 32844 |

162 | 204 | 5508 |

163 | 204 | 33252 |

164 | 204 | 8364 |

165 | 204 | 11220 |

166 | 204 | 16932 |

167 | 204 | 34068 |

## About "Least Common Multiple" Calculator

**612**). Select the first number (e.g. '153') and the second number (e.g. '204'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is thesmallest positive integer that is divisible by both numbers