LCM that 9 and 15 is the the smallest number amongst all common multiples the 9 and also 15. The first few multiples of 9 and also 15 space (9, 18, 27, 36, 45, . . . ) and also (15, 30, 45, 60, 75, 90, . . . ) respectively. There space 3 commonly used methods to discover LCM the 9 and also 15 - by prime factorization, by department method, and by listing multiples.

You are watching: Least common multiple of 9 and 15

1. | LCM the 9 and also 15 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 9 and 15 is 45.

**Explanation: **

The LCM of two non-zero integers, x(9) and y(15), is the smallest hopeful integer m(45) that is divisible by both x(9) and y(15) without any kind of remainder.

Let's look at the different methods because that finding the LCM that 9 and 15.

By division MethodBy element Factorization MethodBy Listing Multiples### LCM that 9 and also 15 by division Method

To calculate the LCM that 9 and also 15 by the division method, we will divide the numbers(9, 15) by their prime factors (preferably common). The product of these divisors gives the LCM the 9 and 15.

**Step 3:**continue the steps until just 1s are left in the last row.

The LCM of 9 and 15 is the product of all prime number on the left, i.e. LCM(9, 15) by division method = 3 × 3 × 5 = 45.

### LCM that 9 and also 15 by element Factorization

Prime administer of 9 and 15 is (3 × 3) = 32 and also (3 × 5) = 31 × 51 respectively. LCM of 9 and also 15 deserve to be derived by multiplying prime factors raised to their respective greatest power, i.e. 32 × 51 = 45.Hence, the LCM that 9 and also 15 by element factorization is 45.

### LCM of 9 and 15 by Listing Multiples

To calculate the LCM the 9 and also 15 through listing out the typical multiples, we have the right to follow the given below steps:

**Step 1:**list a few multiples of 9 (9, 18, 27, 36, 45, . . . ) and 15 (15, 30, 45, 60, 75, 90, . . . . )

**Step 2:**The usual multiples from the multiples that 9 and also 15 are 45, 90, . . .

**Step 3:**The smallest common multiple that 9 and also 15 is 45.

∴ The least common multiple the 9 and also 15 = 45.

**☛ also Check:**

## FAQs top top LCM of 9 and 15

### What is the LCM the 9 and also 15?

The **LCM of 9 and also 15 is 45**. To uncover the LCM that 9 and 15, we require to uncover the multiples of 9 and also 15 (multiples the 9 = 9, 18, 27, 36 . . . . 45; multiples of 15 = 15, 30, 45, 60) and also choose the smallest multiple the is precisely divisible by 9 and 15, i.e., 45.

### What is the Relation between GCF and LCM the 9, 15?

The complying with equation deserve to be offered to refer the relation between GCF and LCM of 9 and 15, i.e. GCF × LCM = 9 × 15.

### Which the the following is the LCM that 9 and also 15? 21, 45, 18, 30

The worth of LCM the 9, 15 is the smallest typical multiple that 9 and also 15. The number satisfying the given condition is 45.

### If the LCM of 15 and 9 is 45, uncover its GCF.

LCM(15, 9) × GCF(15, 9) = 15 × 9Since the LCM that 15 and 9 = 45⇒ 45 × GCF(15, 9) = 135Therefore, the GCF = 135/45 = 3.

See more: What Does 20/25 Vision Mean ? Is It Better Or Worse 2022 What Does It Mean

### What is the the very least Perfect Square Divisible through 9 and also 15?

The the very least number divisible by 9 and also 15 = LCM(9, 15)LCM of 9 and also 15 = 3 × 3 × 5