LCM that 9 and also 12 is the the smallest number among all usual multiples that 9 and also 12. The first couple of multiples the 9 and 12 space (9, 18, 27, 36, 45, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 commonly used techniques to find LCM that 9 and 12 - by division method, by listing multiples, and by prime factorization.

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1. | LCM of 9 and 12 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM that 9 and 12 is 36.

**Explanation: **

The LCM of 2 non-zero integers, x(9) and y(12), is the smallest hopeful integer m(36) the is divisible by both x(9) and y(12) without any remainder.

The methods to find the LCM of 9 and also 12 are defined below.

By Listing MultiplesBy division MethodBy element Factorization Method### LCM that 9 and also 12 by Listing Multiples

To calculation the LCM of 9 and 12 by listing out the common multiples, we deserve to follow the given below steps:

**Step 1:**list a few multiples that 9 (9, 18, 27, 36, 45, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )

**Step 2:**The usual multiples from the multiples of 9 and 12 room 36, 72, . . .

**Step 3:**The smallest typical multiple the 9 and 12 is 36.

∴ The least typical multiple of 9 and also 12 = 36.

### LCM the 9 and also 12 by division Method

To calculate the LCM the 9 and 12 through the department method, we will certainly divide the numbers(9, 12) by your prime determinants (preferably common). The product of these divisors offers the LCM that 9 and 12.

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

The LCM the 9 and also 12 is the product of all prime number on the left, i.e. LCM(9, 12) by department method = 2 × 2 × 3 × 3 = 36.

### LCM the 9 and 12 by element Factorization

Prime administrate of 9 and 12 is (3 × 3) = 32 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 9 and 12 can be acquired by multiply prime factors raised to your respective greatest power, i.e. 22 × 32 = 36.Hence, the LCM of 9 and 12 by element factorization is 36.

**☛ additionally Check:**

## FAQs ~ above LCM of 9 and 12

### What is the LCM that 9 and also 12?

The **LCM of 9 and 12 is 36**. To find the least common multiple that 9 and 12, we need to uncover the multiples that 9 and 12 (multiples that 9 = 9, 18, 27, 36; multiples the 12 = 12, 24, 36, 48) and also choose the the smallest multiple that is specifically divisible by 9 and also 12, i.e., 36.

### What is the Relation between GCF and LCM of 9, 12?

The adhering to equation can be supplied to refer the relation in between GCF and also LCM that 9 and also 12, i.e. GCF × LCM = 9 × 12.

### Which of the complying with is the LCM the 9 and 12? 50, 15, 45, 36

The worth of LCM that 9, 12 is the smallest usual multiple that 9 and also 12. The number to solve the given problem is 36.

### If the LCM of 12 and 9 is 36, find its GCF.

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LCM(12, 9) × GCF(12, 9) = 12 × 9Since the LCM of 12 and 9 = 36⇒ 36 × GCF(12, 9) = 108Therefore, the GCF = 108/36 = 3.

### What space the techniques to find LCM the 9 and 12?

The frequently used methods to find the **LCM of 9 and 12** are: