LCM of 26 and 39 is 78. The least common multiple of any two or more natural numbers is the number that is the lowest of their common multiples. Learn more about the LCM by referring to the article Least Common Multiple (LCM) which is designed by experts in a simple and lucid manner. We can determine the LCM of given numbers with the help of prime factorisation, division method and listing multiples in an efficient manner. In this article, we will discuss how to find the least common multiple of 26 and 39 with a complete explanation.
What is LCM of 26 and 39?
The Least Common Multiple of 26 and 39 is 78.
How to Find LCM of 26 and 39?
The following methods can be used to determine the LCM of 26 and 39
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 26 and 39 Using Prime Factorisation Method
The LCM of 26 and 39 by prime factorisation method can be determined by multiplying prime factors raised to their respective highest power.
26 = 2 × 13
39 = 3 × 13
LCM (26, 39) = 2 × 3 × 13 = 78
LCM of 26 and 39 Using Division Method
In this method, we divide the numbers 26 and 39 by their prime factors to find their LCM. The product of these divisors gives the least common multiple of 26 and 39. This can be shown as below.
|
2 |
26 |
39 |
|
3 |
13 |
39 |
|
13 |
13 |
13 |
|
x |
1 |
1 |
No more further division can be done.
Hence, LCM (26, 39) = 2 × 3 × 13 = 78
LCM of 26 and 39 Using Listing the Multiples
Here we list out the multiples of 26 and 39 to find their least common multiple as shown below:
|
Multiples of 26 |
Multiples of 39 |
|
26 |
39 |
|
52 |
78 |
|
78 |
117 |
|
104 |
156 |
|
130 |
195 |
LCM (26, 39) = 78
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 26 and 39?
Solution: 78 is the smallest number that is divisible by both 26 and 39.
Q. 2: The GCD and LCM of the two numbers are 13 and 78 respectively. If one number is 26, calculate the other number.
Solution: Let the other number be p
We know that
GCD × LCM = 26 × p
p = (GCD × LCM) / 26
p = (13 × 78) / 26
p = 39
Hence the other number is 39.
Frequently Asked Questions on LCM of 26 and 39
What is the LCM of 26 and 39?
List out the methods used to find the LCM of 26 and 39.
The methods used to find the LCM of 26 and 39 are as follows:
Prime Factorisation
Division Method
Listing the Multiples
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