LCM of 5 and 13 is 65. LCM stands for least common multiple in Mathematics. It is also known as LCD. HCF and LCM is the best study source for students who want to grasp the method of finding the least common multiple and highest common factors of given numbers more effectively. Following this article on a daily basis, helps students solve complex problems based on LCM and HCF in an efficient manner. Let us learn in detail how to verify the least common multiple of 5 and 13 with the help of examples and FAQs in this article.
What is LCM of 5 and 13?
The Least Common Multiple of 5 and 13 is 65.
How to Find LCM of 5 and 13?
LCM of 5 and 13 can be obtained using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 5 and 13 Using Prime Factorisation Method
In this method, we calculate the LCM of given numbers by writing the prime factors of numbers individually. Hence the numbers 5 and 13 are expressed as;
5 = 5
13 = 13
LCM (5, 13) = 5 × 13 = 65
LCM of 5 and 13 Using Division Method
To calculate the LCM in the division method, we divide the numbers 5 and 13 by their prime factors until we get the result as one in the complete row. The product of these divisors gives the least common multiple of 5 and 13.
| 5 | 5 | 13 |
| 13 | 1 | 13 |
| x | 1 | 1 |
No more further division can be done.
Therefore, LCM (5, 13) = 5 × 13 = 65
LCM of 5 and 13 Using Listing the Multiples
In this method, we list out the multiples of given natural numbers to calculate the lowest common multiple among them. The multiples of 5 and 13 are given below.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, ……….
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130 …………..
LCM (5, 13) = 65
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 5 and 13?
Solution: 65 is the smallest number that is divisible by both 5 and 13.
2. What is the lowest common factor of 5 and 13?
Solution: The lowest common factor of 5 and 13 is 65.
Frequently Asked Questions on LCM of 5 and 13
What is the LCM of 5 and 13?
What are the methods used to find the least common multiple of 5 and 13?
The least common multiple of 5 and 13 can be obtained using the methods given below
Prime Factorisation
Division method
Listing the Multiples
What is the difference between LCM of 5 and 13 and the HCF of 5 and 13?
What is the GCF if the LCM of 5 and 13 is 65?
GCF × LCM = 5 × 13
Given
LCM = 65
GCF × 65 = 5 × 13
GCF = 1
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