In this problem, we will Find The LCM And HCF of 26 and 91 By Prime Factorization by doing the factors of the given numbers.

We will use the following concepts:

HCF = The highest factor that divides all numbers.

LCM = The lowest number that could be completely divisible by all two given numbers.

## Find The LCM And HCF of 26 and 91

So, first of all we will do the factors of these given numbers 26, and 91

By seeing the numbers we can identify that all these are general numbers. We will factorize them into prime numbers.

Hence the factors of 26 are as follow:

26 = 2X23

Hence the factors of 91 are as follow:

91 = 7X13

Let’s see all together

26 = 2X23

91 = 7X13

Here we can see common factor is 1. Because only 1 can divide all these prime numbers.

So, the HCF or Highest Common Factor of 26, 91 is = 1

LCM of 26 and 91 is as follow:

LCM = 26X91

LCM = 2366

Now we will verify the relationship for calculating that our answer is correct on not.

So, for verifying our answer we will use the standard relationship

**Multiplication of numbers = LCM x HCF**

In this question, we have 2 numbers 26 & 91.

**Let’s see the product of multiplication**

= 26X91

= 2366

Now let’s see the product of multiplication of LCM and HCF

= LCM x HCF

= 2366 x 1

= 2366

Here we can see that this question satisfied the standard relationship

**Multiplications of numbers = multiplications of HCF and LCM**

### Find The LCM And HCF of 26 and 91 By Prime Factorization

Let’s take this example from the classroom whiteboard notes.

## Leave a Reply