LCM of 13 and 91

LCM of 13 and 91 is 91. Students can understand the steps to determine the least common multiple of 13 and 91 by considering the common multiples. (13, 26, 39, 52, 65, 78, 91, ….) and (91, 182, 273, 364, 455,….) are the multiples of 13 and 91. We can calculate the LCM of two numbers using methods like prime factorisation, by listing the multiples and division.

Also read: Least common multiple

What is LCM of 13 and 91?

The answer to this question is 91. The LCM of 13 and 91 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 13 and 91, is the smallest positive integer 91 which is divisible by both 13 and 91 with no remainder.

How to Find LCM of 13 and 91?

LCM of 13 and 91 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 13 and 91 Using Prime Factorisation Method

The prime factorisation of 13 and 91, respectively, is given by:

13 = 13 = 13¹

91 = 7 x 13 = 7¹ x 13¹

LCM (13, 91) = 91

LCM of 13 and 91 Using Division Method

We’ll divide the numbers (13, 91) by their prime factors to get the LCM of 13 and 91 using the division method (preferably common). The LCM of 13 and 91 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (13, 91) = 91

LCM of 13 and 91 Using Listing the Multiples

To calculate the LCM of 13 and 91 by listing out the common multiples, list the multiples as shown below

LCM (13, 91) = 91

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors
• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 13 and 91 Solved Examples 

Question: Determine the smallest number exactly divisible by 13 and 91.

Solution:

We know that

The smallest number exactly divisible by 13 and 91 is the LCM.

Multiples of 13 = 13, 26, 39, 52, 65, 78, 91, ….

Multiples of 91 = 91, 182, 273, 364, 455,….

Hence, the LCM of 13 and 91 is 91.