LCM of 4 and 36 is 36. LCM is the method to find the smallest possible multiple of two or more numbers.LCM of Two Numbers is the best source to clear doubts of students which arise while solving the textbook problems. Regular practice of problems using this article is one of the best ways to understand the LCM concept. This also helps students reduce stress during exams and boost confidence to solve complex problems with ease. Let us learn in detail how to calculate the least common multiple of 4 and 36 in this article.
What is LCM of 4 and 36?
The Least Common Multiple of 4 and 36 is 36.
How to Find LCM of 4 and 36?
LCM of 4 and 36 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 4 and 36 Using Prime Factorisation Method
Here, 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. Hence, the numbers 4 and 36 can be expressed as;
4 = 2 × 2
36 = 2 × 2 × 3 × 3
LCM (4, 36) = 2 × 2 × 3 × 3 = 36
LCM of 4 and 36 Using Division Method
In the division method, to find the least common multiple of 4 and 36, we divide the numbers 4 and 36 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 4 and 36.
| 2 | 4 | 36 |
| 2 | 2 | 18 |
| 3 | 1 | 9 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (4, 36) = 2 × 2 × 3 × 3 = 36
LCM of 4 and 36 Using Listing the Multiples
In this method, we list the multiples of given natural numbers to find the lowest common multiple among them. The multiples of 4 and 36 are given below.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, …………..
Multiples of 36: 36, 72, 108, 144, 180, ……..
LCM (4, 36) = 36
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 36?
Solution: 36 is the smallest number that is divisible by both 4 and 36.
2. The GCD and LCM of the two numbers are 4 and 36. If one number is 36, what is the other number?
Solution: Let the other number be m
We know that
GCD × LCM = 36 × m
m = (GCD × LCM)/36
m = (4 × 36)/36
m = 4
Hence the other number is 4.
Frequently Asked Questions on LCM of 4 and 36
What is the LCM of 4 and 36?
Is the LCM of 4 and 36 the same as the HCF of 4 and 36?
36 is the LCM of 4 and 36. True or False.
Mention the methods used to find the LCM of 4 and 36.
The following methods are used to find the LCM of 4 and 36
Prime Factorisation
Division Method
Listing the Multiples
What is the GCF if the LCM of 4 and 36 is 36?
GCF × LCM = 4 × 36
Given
LCM = 36
GCF × 36 = 4 × 36
GCF = 4
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