LCM the 9 and 15 is the smallest number among all usual multiples of 9 and also 15. The first couple of multiples the 9 and also 15 are (9, 18, 27, 36, 45, . . . ) and (15, 30, 45, 60, 75, 90, . . . ) respectively. There space 3 commonly used techniques to uncover LCM the 9 and also 15 - by element factorization, by department method, and also by listing multiples.

You are watching: What is the lcm of 9 and 15

1. | LCM the 9 and 15 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 9 and also 15 is 45.

**Explanation: **

The LCM of 2 non-zero integers, x(9) and also y(15), is the smallest confident integer m(45) the is divisible by both x(9) and y(15) without any kind of remainder.

Let's look in ~ the various methods for finding the LCM of 9 and also 15.

By department MethodBy element Factorization MethodBy Listing Multiples### LCM of 9 and also 15 by department Method

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

**Step 3:**proceed the measures until only 1s room left in the critical row.

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

### LCM that 9 and 15 by prime Factorization

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

### LCM the 9 and also 15 by Listing Multiples

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

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

**Step 2:**The usual multiples native the multiples that 9 and 15 room 45, 90, . . .

**Step 3:**The smallest typical multiple of 9 and also 15 is 45.

∴ The least usual multiple that 9 and also 15 = 45.

**☛ additionally Check:**

## FAQs on LCM of 9 and also 15

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

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

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

The complying with equation can be used to to express the relation between GCF and also LCM of 9 and 15, i.e. GCF × LCM = 9 × 15.

### Which of the adhering to is the LCM the 9 and 15? 21, 45, 18, 30

The value of LCM of 9, 15 is the smallest common multiple the 9 and 15. The number satisfying the given condition is 45.

### If the LCM the 15 and also 9 is 45, discover its GCF.

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

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### What is the least Perfect Square Divisible by 9 and 15?

The least number divisible through 9 and 15 = LCM(9, 15)LCM of 9 and 15 = 3 × 3 × 5