Free LCM Calculator determines the least common multiple (LCM) between 9 and 15 the smallest integer that is 45 that is divisible by both numbers.

## Least Common Multiple of 9 and 15 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 9 and 15, than apply into the LCM equation.

GCF(9,15) = 3 LCM(9,15) = ( 9 × 15) / 3 LCM(9,15) = 135 / 3 LCM(9,15) = 45

### Least Common Multiple (LCM) of 9 and 15 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9 and 15. First we will calculate the **prime factors of 9 and 15**.

**Prime Factorization of 9**

3 | 9 |

3 | 3 |

1 |

Prime factors of 9 are 3. Prime factorization of **9** in exponential form is:

**Prime Factorization of 15**

3 | 15 |

5 | 5 |

1 |

Prime factors of 15 are 3,5. Prime factorization of **15** in exponential form is:

Now multiplying the highest exponent prime factors to calculate the **LCM of 9 and 15**.

LCM(9,15) = 32×51 LCM(9,15) = 45

**Factors of 9**

List of positive integer factors of 9 that divides 9 without a remainder.

**Factors of 15**

List of positive integer factors of 15 that divides 15 without a remainder.

### Least Common Multiple of 9 and 15 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b). We need to calculate greatest common factor 9 and 15, than apply into the LCM equation.

GCF(9,15) = 3 LCM(9,15) = ( 9 × 15) / 3 LCM(9,15) = 135 / 3 LCM(9,15) = 45

## FAQ

**What is the LCM of prime factorization of 9 and 15?**

**GCF of 9 and 15 is 3**. Example 3: Find the GCF of 9 and 15, if their LCM is 45. Therefore, the greatest common factor of 9 and 15 is 3.

**What are the multiples of 9 and 15?**

Prime factorization of 9 and 15 is **(3 × 3) = 3 ^{2} and (3 × 5) = 3^{1} × 5^{1}** respectively. LCM of 9 and 15 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 3

^{2}× 5

^{1}= 45.