LCM of 4 and 26 is 52. LCM can be defined as the smallest common multiple of two or more numbers. Students are recommended to access the article Least Common Multiple (LCM), a reliable and resourceful tool that provides in-depth knowledge of the LCM concept, making learning hassle-free. Regular use of this article enables students to clear their doubts immediately related to the LCM concept. Here, we will learn how to verify the least common multiple of 4 and 26 using solved examples and FAQs in a precise manner.
What is LCM of 4 and 26?
The Least Common Multiple of 4 and 26 is 52.
How to Find LCM of 4 and 26?
LCM of 4 and 26 can be determined using three methods
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 4 and 26 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.
4 = 2 × 2
26 = 2 × 13
LCM (4, 26) = 2 × 2 × 13 = 52
LCM of 4 and 26 Using Division Method
In the division method, to determine the least common multiple of 4 and 26, we divide the numbers 4 and 26 by their prime factors until we get the result as one in the complete row. The product of these divisors shows the least common multiple of 4 and 26.
| 2 | 4 | 26 |
| 2 | 2 | 13 |
| 13 | 1 | 13 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (4, 26) = 2 × 2 × 13 = 52
LCM of 4 and 26 Using Listing the Multiples
In this method, we list the multiples of 4 and 26 to find the least common multiple among them. Let us glance at the multiples of 4 and 26 given below.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, …………
Multiples of 26: 26, 52, 78, 104, 130, 156, 182, 208, 234, 260………
LCM (4, 26) = 52
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 4 and 26?
Solution: 52 is the smallest number that is divisible by both 4 and 26.
2. The GCD and LCM of the two numbers are 2 and 52. If one number is 4, what is the other number?
Solution: Let the other number be k
We know that,
GCD × LCM = 4 × k
k = (GCD × LCM) / 4
k = (2 × 52) / 4
k = 26
Hence the other number is 26.
Frequently Asked Questions on LCM of 4 and 26
What is the LCM of 4 and 26?
Is the LCM of 4 and 26 the same as the HCF of 4 and 26?
Name the methods used to find the least common multiple of 4 and 26.
The methods used to find the least common multiple of 4 and 26 are as follows:
Prime Factorisation
Division method
Listing the Multiples
Find the GCF if the LCM of 4 and 26 is 52.
GCF × LCM = 4 × 26
Given
LCM = 52
GCF × 52 = 4 × 26
GCF = 2
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