LCM of 6 and 13

LCM of 6 and 13 is 78. The LCM is the common multiple evenly divisible by 6 and 13. The least common multiple of 6 and 13 can be obtained from the common multiples which we get by the multiplication operation. (6, 12, 18, 24, 30, 36, ….) and (13, 26, 39, 52, 65,….) are the first few multiples of 6 and 13. Few methods like division, prime factorisation and listing of multiples are used to get the LCM value. 

Also read: Least common multiple

What is LCM of 6 and 13?

The answer to this question is 78. The LCM of 6 and 13 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 6 and 13, is the smallest positive integer 78 which is divisible by both 6 and 13 with no remainder.

How to Find LCM of 6 and 13?

LCM of 6 and 13 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 6 and 13 Using Prime Factorisation Method

The prime factorisation of 6 and 13, respectively, is given by:

6 = 2 x 3 = 2¹ x 3¹

13 = 13¹

LCM (6, 13) = 78

LCM of 6 and 13 Using Division Method

We’ll divide the numbers (6, 13) by their prime factors to get the LCM of 6 and 13 using the division method (preferably common). The LCM of 6 and 13 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (6, 13) = 78

LCM of 6 and 13 Using Listing the Multiples

To calculate the LCM of 6 and 13 by listing out the common multiples, list the multiples as shown below

LCM (6, 13) = 78

Related Articles

• HCF and LCM
• Prime Factorization
• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 6 and 13 Solved Examples 

Question: What is the LCM if the product of two numbers is 78 and the GCD is 1?

Solution:

It is given that,

Product of two numbers = 78

GCD = 1

We know that

LCM x GCD = Product of two numbers

LCM = Product/GCD

LCM = 78/1

LCM = 78

Hence, the LCM is 78.