Free LCM Calculator determines the least common multiple (LCM) between 720 and 727 the smallest integer that is 523440 that is divisible by both numbers.

Least Common Multiple (LCM) of 720 and 727 is **523440**.

LCM(720,727) = 523440

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

- Least Common Multiple of 720 and 727 by Prime method
- Least Common Multiple of 720 and 727 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 727. First we will calculate the **prime factors of 720 and 727**.

**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 727**

727 | 727 |

1 |

Prime factors of 727 are 727. Prime factorization of **727** in exponential form is:

727 = 727^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 720 and 727**.

LCM(720,727) = 2^{4}×3^{2}×5^{1}×727^{1}

LCM(720,727) = 523440

**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 727**

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

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

We need to calculate greatest common factor 720 and 727, than apply into the LCM equation.

GCF(720,727) = 1

LCM(720,727) = ( 720 × 727) / 1

LCM(720,727) = 523440 / 1

LCM(720,727) = 523440

(i) The LCM of 727 and 720 is associative

LCM of 720 and 727 = LCM of 727 and 720

1. What is the LCM of 720 and 727?

Answer: LCM of 720 and 727 is 523440.

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 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the LCM of 720 and 727?

Answer:

Least Common Multiple of 720 and 727 = 523440

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 727

727 = 727

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

LCM = 523440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 727

Step 4: Therefore, the least common multiple of 720 and 727 is 523440.