LCM of 5 and also 13 is the smallest number among all typical multiples that 5 and 13. The first couple of multiples of 5 and 13 room (5, 10, 15, 20, . . . ) and also (13, 26, 39, 52, 65, 78, 91, . . . ) respectively. There are 3 commonly used methods to find LCM of 5 and also 13 - by listing multiples, by element factorization, and also by division method.

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1. | LCM the 5 and also 13 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

The LCM of 2 non-zero integers, x(5) and also y(13), is the smallest optimistic integer m(65) that is divisible by both x(5) and y(13) without any type of remainder.

The approaches to uncover the LCM of 5 and 13 are described below.

By prime Factorization MethodBy department MethodBy Listing Multiples### LCM of 5 and also 13 by prime Factorization

Prime factorization of 5 and 13 is (5) = 51 and also (13) = 131 respectively. LCM of 5 and 13 can be acquired by multiply prime factors raised to your respective highest power, i.e. 51 × 131 = 65.Hence, the LCM of 5 and also 13 by prime factorization is 65.

### LCM that 5 and also 13 by department Method

To calculation the LCM that 5 and also 13 by the division method, we will certainly divide the numbers(5, 13) by their prime determinants (preferably common). The product of these divisors gives the LCM of 5 and 13.

**Step 3:**continue the measures until just 1s space left in the critical row.

The LCM that 5 and also 13 is the product of all prime number on the left, i.e. LCM(5, 13) by department method = 5 × 13 = 65.

### LCM of 5 and 13 by Listing Multiples

To calculation the LCM the 5 and 13 by listing out the typical multiples, we can follow the given below steps:

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

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

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

∴ The least common multiple the 5 and 13 = 65.

**☛ additionally Check:**

## FAQs ~ above LCM that 5 and also 13

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

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

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

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

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

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

### How to find the LCM the 5 and also 13 by element Factorization?

To uncover the LCM of 5 and 13 using prime factorization, we will uncover the prime factors, (5 = 5) and also (13 = 13). LCM that 5 and 13 is the product that prime components raised to your respective highest possible exponent amongst the number 5 and also 13.⇒ LCM of 5, 13 = 51 × 131 = 65.

### If the LCM of 13 and 5 is 65, uncover 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.