LCM of 5 and also 13 is the smallest number amongst all usual multiples that 5 and also 13. The first few multiples the 5 and also 13 space (5, 10, 15, 20, . . . ) and (13, 26, 39, 52, 65, 78, 91, . . . ) respectively. There space 3 typically used methods to find LCM that 5 and also 13 - through listing multiples, by element factorization, and by department method.

You are watching: What is the least common multiple of 5 and 13

 1 LCM the 5 and also 13 2 List of Methods 3 Solved Examples 4 FAQs

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

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

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

By element Factorization MethodBy department MethodBy Listing Multiples

### LCM the 5 and 13 by element Factorization

Prime factorization of 5 and 13 is (5) = 51 and (13) = 131 respectively. LCM of 5 and 13 deserve to be derived by multiply prime determinants raised to their respective highest possible power, i.e. 51 × 131 = 65.Hence, the LCM the 5 and also 13 by element 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 your prime factors (preferably common). The product of these divisors provides the LCM that 5 and 13.

Step 3: proceed the steps until only 1s room left in the last row.

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

### LCM that 5 and also 13 by Listing Multiples To calculate the LCM that 5 and also 13 by listing the end the common multiples, we can follow the given listed below steps:

Step 1: list a couple of multiples that 5 (5, 10, 15, 20, . . . ) and 13 (13, 26, 39, 52, 65, 78, 91, . . . . )Step 2: The usual multiples from the multiples of 5 and 13 are 65, 130, . . .Step 3: The smallest usual multiple of 5 and also 13 is 65.

∴ The least typical multiple of 5 and 13 = 65. ## FAQs top top LCM of 5 and 13

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

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

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

The the very least number divisible through 5 and also 13 = LCM(5, 13)LCM of 5 and 13 = 5 × 13 ⇒ least perfect square divisible by each 5 and also 13 = LCM(5, 13) × 5 × 13 = 4225 Therefore, 4225 is the required number.

### Which of the complying with is the LCM the 5 and 13? 65, 28, 2, 32

The worth of LCM that 5, 13 is the smallest typical multiple the 5 and also 13. The number to solve the given condition is 65.

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

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

### If the LCM that 13 and also 5 is 65, uncover its GCF.See more: Rainbow Dash'S Crush ! - 13 Rainbow Dash In Love With Her Crush

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.