LCM of 13 and 11 is 143. LCM can be defined as the smallest common multiple between any two or more numbers. Learning the LCM concept becomes easy by referring to the article Least Common Multiple (LCM) prepared by experts in a simple language. Students who face obstacles in solving problems based on the LCM concept are advised to go through this article and get their doubts cleared. Regular use of this article also improves conceptual knowledge among students. Let us learn how to find the least common multiple of 13 and 11 with solved examples and FAQs in this article.
What is LCM of 13 and 11?
The Least Common Multiple of 13 and 11 is 143.
How to Find LCM of 13 and 11?
LCM of 13 and 11 can be determined using three methods
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 13 and 11 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. The least common multiple will be the product of all prime factors with the highest degree.
13 = 13
11 = 11
LCM (13, 11) = 13 × 11 = 143
LCM of 13 and 11 Using Division Method
In the division method, we divide the numbers 13 and 11 by a common prime number until the remainder is a prime number or one. The product of these divisors represents the least common multiple of 13 and 11.
| 13 | 13 | 11 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (13, 11) = 13 × 11 = 143
LCM of 13 and 11 Using Listing the Multiples
Here, we list the multiples of 13 and 11 to determine the least common multiple among them. Let us glance at the multiples of 13 and 11 given below.
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, ………….
Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, ……..
LCM (13, 11) = 143
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 13 and 11?
Solution: 143 is the smallest number that is divisible by both 13 and 11.
2. The GCD and LCM of the two numbers are 1 and 143. If one number is 13, calculate the other number.
Solution: Let the other number be r
We know that,
(GCD × LCM) = 13 × r
r = (GCD × LCM) / 13
r = (1 × 143) / 13
r = 11
Hence the other number is 11.
Frequently Asked Questions on LCM of 13 and 11
What is the LCM of 13 and 11?
Is the LCM of 13 and 11 the same as the HCF of 13 and 11?
List the first five multiples of 13 and 11.
The first five multiples of 13 and 11 are as follows
Multiples of 13 = 13, 26, 39, 52 and 65
Multiples of 11 = 11, 22, 33, 44 and 55
Write the methods used to find the LCM of 13 and 11.
The methods used to find the LCM of 13 and 11 are
Prime Factorisation
Division Method
Listing the Multiples
Determine the GCF if the LCM of 13 and 11 is 143.
GCF × LCM = 13 × 11
Given
LCM = 143
GCF × 143 = 13 × 11
GCF = 1
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