Answer
385.2k+ views
Hint: In this question we have to find the LCM which is the abbreviation of the term lowest common multiple which tells us the lowest number which is present in the mathematical table of both the numbers. We will find the lowest common multiple by writing the multiples of both the terms till we find the first common multiple for both the numbers.
Complete step-by-step answer:
We have the numbers $2$ and $13$.
On writing the multiples of $2$, we get:
$2,4,6,8,10,12,14,16,18,20,22,24,26,28......$
Now on writing the multiples of $13$, we get:
$13,26,39,52,65.......$
Now from the above multiples of $2$ and $13$, we can see that the first term which is a multiple for both the numbers is $26$, therefore the lowest common multiple is $26$.
Note: The lowest common multiple can also be found using the prime method. In this method both the terms should be written as a product of prime numbers. Since the numbers $2$ and $13$, both are prime numbers they cannot be expressed as a product of prime numbers therefore, the lowest common multiple is the multiplication of the term $2$ and $13$, which is $26$.
There also exists the HCF of a number which is the abbreviation for highest common factor of a number which tells the greatest number by which two numbers can be divided such that there is no remainder. It can be found out by multiplying the common prime factors which have the lowest degree.
Complete step-by-step answer:
We have the numbers $2$ and $13$.
On writing the multiples of $2$, we get:
$2,4,6,8,10,12,14,16,18,20,22,24,26,28......$
Now on writing the multiples of $13$, we get:
$13,26,39,52,65.......$
Now from the above multiples of $2$ and $13$, we can see that the first term which is a multiple for both the numbers is $26$, therefore the lowest common multiple is $26$.
Note: The lowest common multiple can also be found using the prime method. In this method both the terms should be written as a product of prime numbers. Since the numbers $2$ and $13$, both are prime numbers they cannot be expressed as a product of prime numbers therefore, the lowest common multiple is the multiplication of the term $2$ and $13$, which is $26$.
There also exists the HCF of a number which is the abbreviation for highest common factor of a number which tells the greatest number by which two numbers can be divided such that there is no remainder. It can be found out by multiplying the common prime factors which have the lowest degree.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)