Free LCM Calculator determines the least common multiple (LCM) between 720 and 724 the smallest integer that is 130320 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 724 is **130320**.

LCM(720,724) = 130320

*Least common multiple* or lowest common denominator (LCD) can be calculated in three ways;

- Least Common Multiple of 720 and 724 by Prime method
- Least Common Multiple of 720 and 724 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 724. First we will calculate the **prime factors of 720 and 724**.

**Prime Factorization of 720**

2 | 720 |

2 | 360 |

2 | 180 |

2 | 90 |

3 | 45 |

3 | 15 |

5 | 5 |

1 |

Prime factors of 720 are 2, 3,5. Prime factorization of **720** in exponential form is:

720 = 2^{4}×3^{2}×5^{1}

**Prime Factorization of 724**

2 | 724 |

2 | 362 |

181 | 181 |

1 |

Prime factors of 724 are 2,181. Prime factorization of **724** in exponential form is:

724 = 2^{2}×181^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 720 and 724**.

LCM(720,724) = 2^{4}×3^{2}×5^{1}×181^{1}

LCM(720,724) = 130320

**Factors of 720**

List of positive integer factors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

**Factors of 724**

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 720 and 724, than apply into the LCM equation.

GCF(720,724) = 4

LCM(720,724) = ( 720 × 724) / 4

LCM(720,724) = 521280 / 4

LCM(720,724) = 130320

(i) The LCM of 724 and 720 is associative

LCM of 720 and 724 = LCM of 724 and 720

1. What is the LCM of 720 and 724?

Answer: LCM of 720 and 724 is 130320.

2. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

3. What are the Factors of 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

4. How to Find the LCM of 720 and 724?

Answer:

Least Common Multiple of 720 and 724 = 130320

Step 1: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 724

724 = 2 x 2 x 181

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 130320 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 181

Step 4: Therefore, the least common multiple of 720 and 724 is 130320.