LCM of 4 and 13 is 52. The evenly divisible number which is the smallest among the multiples of the 4 and 13 is the LCM value. By going through the common multiples, the least common multiple of 4 and 13 can be found. (4, 8, 12, 16, 20, 24, ….) and (13, 26, 39, 52, 65, 78, ….) are the multiples of 4 and 13. Learn to get the LCM values with the help of the prime factorisation method, division method and by listing the multiples.
Also read: Least common multiple
What is LCM of 4 and 13?
The answer to this question is 52. The LCM of 4 and 13 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 13, is the smallest positive integer 52 which is divisible by both 4 and 13 with no remainder.
How to Find LCM of 4 and 13?
LCM of 4 and 13 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 13 Using Prime Factorisation Method
The prime factorisation of 4 and 13, respectively, is given by:
4 = 2 x 2 = 2²
13 = 13¹
LCM (4, 13) = 52
LCM of 4 and 13 Using Division Method
We’ll divide the numbers (4, 13) by their prime factors to get the LCM of 4 and 13 using the division method (preferably common). The LCM of 4 and 13 is calculated by multiplying these divisors.
|
2 |
4 |
13 |
|
2 |
2 |
13 |
|
13 |
1 |
13 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (4, 13) = 52
LCM of 4 and 13 Using Listing the Multiples
To calculate the LCM of 4 and 13 by listing out the common multiples, list the multiples as shown below
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, …..
Multiples of 13 = 13, 26, 39, 52, 65, 78, ….
LCM (4, 13) = 52
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LCM of 4 and 13 Solved Examples
Question: The LCM and GCD of two numbers are 52 and 1. If one number is 4, calculate the other number.
Solution:
Consider m as the other number
GCD x LCM = 4 x m
m = (GCD x LCM)/ 4
m = (1 x 52)/4
m = 13
Hence, the other number is 13.
Frequently Asked Questions on LCM of 4 and 13
What is the LCM of 4 and 13?
The LCM of 4 and 13 is 52.
The smallest multiple exactly divisible by 4 and 13 should be found.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, …..
Multiples of 13 = 13, 26, 39, 52, 65, 78, ….
The smallest common multiple exactly divisible by 4 and 13 is 52.
What are the methods used to get the LCM value of 4 and 13?
If the LCM value of 4 and 13 is 52, find the GCF.
LCM x GCF = 4 x 13
Given
LCM of 4 and 13 = 52
52 x GCF = 52
GCF = 52/52 = 1
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