LCM of 5 and also 13 is the smallest number amongst all usual multiples of 5 and 13. The first few multiples of 5 and also 13 are (5, 10, 15, 20, . . . ) and also (13, 26, 39, 52, 65, 78, 91, . . . ) respectively. There space 3 commonly used approaches to uncover LCM of 5 and also 13 - by listing multiples, by element factorization, and by division method.

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1. | LCM that 5 and also 13 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 5 and 13 is 65.

**Explanation: **

The LCM of two non-zero integers, x(5) and y(13), is the smallest hopeful integer m(65) that is divisible by both x(5) and y(13) without any remainder.

The approaches to discover the LCM that 5 and 13 are explained below.

By element Factorization MethodBy division MethodBy Listing Multiples### LCM that 5 and 13 by prime Factorization

Prime administrate of 5 and 13 is (5) = 51 and also (13) = 131 respectively. LCM that 5 and 13 have the right to be acquired by multiply prime determinants raised to your respective greatest power, i.e. 51 × 131 = 65.Hence, the LCM the 5 and 13 by element factorization is 65.

### LCM that 5 and 13 by division Method

To calculate the LCM the 5 and also 13 by the department method, we will divide the numbers(5, 13) by their prime components (preferably common). The product of this divisors provides the LCM of 5 and 13.

**Step 3:**continue the actions until only 1s are left in the critical row.

The LCM that 5 and 13 is the product of every prime numbers on the left, i.e. LCM(5, 13) by division method = 5 × 13 = 65.

### LCM of 5 and 13 through Listing Multiples

To calculation the LCM the 5 and also 13 by listing out the usual multiples, we have the right to follow the given listed below steps:

**Step 1:**perform a few multiples the 5 (5, 10, 15, 20, . . . ) and 13 (13, 26, 39, 52, 65, 78, 91, . . . . )

**Step 2:**The typical multiples indigenous the multiples of 5 and also 13 are 65, 130, . . .

**Step 3:**The smallest common multiple of 5 and 13 is 65.

∴ The least typical multiple the 5 and also 13 = 65.

**☛ also Check:**

## FAQs top top LCM of 5 and also 13

### What is the LCM of 5 and 13?

The **LCM that 5 and also 13 is 65**. To find the LCM (least typical multiple) that 5 and 13, we require to find the multiples the 5 and also 13 (multiples the 5 = 5, 10, 15, 20 . . . . 65; multiples of 13 = 13, 26, 39, 52 . . . . 65) and choose the the smallest multiple the is specifically divisible through 5 and also 13, i.e., 65.

### What is the least Perfect Square Divisible by 5 and also 13?

The least number divisible by 5 and also 13 = LCM(5, 13)LCM of 5 and 13 = 5 × 13

### Which of the following is the LCM that 5 and also 13? 65, 28, 2, 32

The value of LCM of 5, 13 is the smallest common multiple of 5 and also 13. The number solve the given condition is 65.

### How to discover the LCM of 5 and 13 by element Factorization?

To uncover the LCM of 5 and also 13 making use of prime factorization, us will find the element factors, (5 = 5) and (13 = 13). LCM the 5 and 13 is the product the prime components raised to their respective highest exponent among the numbers 5 and 13.⇒ LCM of 5, 13 = 51 × 131 = 65.

### If the LCM the 13 and 5 is 65, find its GCF.

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LCM(13, 5) × GCF(13, 5) = 13 × 5Since the LCM of 13 and also 5 = 65⇒ 65 × GCF(13, 5) = 65Therefore, the GCF = 65/65 = 1.