LCM that 5 and also 9 is the the smallest number among all usual multiples of 5 and also 9. The first couple of multiples the 5 and 9 are (5, 10, 15, 20, 25, 30, . . . ) and (9, 18, 27, 36, 45, 54, 63, . . . ) respectively. There space 3 typically used techniques to find LCM of 5 and also 9 - by division method, by listing multiples, and by element factorization.

You are watching: Least common multiple of 5 and 9

1. | LCM the 5 and 9 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 5 and 9 is 45.

**Explanation: **

The LCM of two non-zero integers, x(5) and also y(9), is the smallest positive integer m(45) the is divisible by both x(5) and also y(9) without any type of remainder.

Let's look at the various methods because that finding the LCM of 5 and also 9.

By element Factorization MethodBy division MethodBy Listing Multiples### LCM that 5 and 9 by prime Factorization

Prime factorization of 5 and 9 is (5) = 51 and also (3 × 3) = 32 respectively. LCM that 5 and 9 deserve to be obtained by multiply prime factors raised to their respective highest power, i.e. 32 × 51 = 45.Hence, the LCM the 5 and 9 by prime factorization is 45.

### LCM that 5 and 9 by division Method

To calculate the LCM that 5 and 9 by the department method, we will divide the numbers(5, 9) by your prime components (preferably common). The product of these divisors offers the LCM that 5 and also 9.

**Step 3:**continue the actions until only 1s room left in the last row.

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

### LCM the 5 and also 9 by Listing Multiples

To calculate the LCM the 5 and 9 by listing out the usual multiples, we have the right to follow the given listed below steps:

**Step 1:**list a couple of multiples that 5 (5, 10, 15, 20, 25, 30, . . . ) and 9 (9, 18, 27, 36, 45, 54, 63, . . . . )

**Step 2:**The typical multiples native the multiples the 5 and also 9 room 45, 90, . . .

**Step 3:**The smallest typical multiple of 5 and 9 is 45.

∴ The least common multiple of 5 and also 9 = 45.

**☛ also Check:**

## FAQs ~ above LCM the 5 and also 9

### What is the LCM the 5 and 9?

The **LCM of 5 and 9 is 45**. To uncover the least usual multiple of 5 and also 9, we need to discover the multiples the 5 and 9 (multiples the 5 = 5, 10, 15, 20 . . . . 45; multiples that 9 = 9, 18, 27, 36 . . . . 45) and also choose the smallest multiple the is exactly divisible by 5 and also 9, i.e., 45.

### What is the the very least Perfect Square Divisible through 5 and 9?

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

### How to uncover the LCM of 5 and 9 by element Factorization?

To discover the LCM the 5 and also 9 making use of prime factorization, we will discover the prime factors, (5 = 5) and also (9 = 3 × 3). LCM of 5 and 9 is the product the prime factors raised to their respective greatest exponent amongst the numbers 5 and 9.⇒ LCM the 5, 9 = 32 × 51 = 45.

### What room the techniques to uncover LCM of 5 and also 9?

The typically used methods to discover the **LCM the 5 and 9** are:

### If the LCM that 9 and 5 is 45, find its GCF.

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LCM(9, 5) × GCF(9, 5) = 9 × 5Since the LCM that 9 and also 5 = 45⇒ 45 × GCF(9, 5) = 45Therefore, the GCF = 45/45 = 1.