LCM of 4 and 18 is 36. LCM defines the least number which is exactly divisible by two or more numbers. Subject matter experts curated the LCM of Two Numbers with utmost care in order to provide the best reference guide for students to hold a firm grip on the LCM concept. The detailed explanation of the LCM concept in this article helps students to find the least common multiple of given numbers more effectively. In this article, let us learn how to find the least common multiple of 4 and 18 using prime factorisation, division method and a list of multiples in detail.
What is LCM of 4 and 18?
The Least Common Multiple of 4 and 18 is 36.
How to Find LCM of 4 and 18?
LCM of 4 and 18 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 18 Using Prime Factorisation Method
In the prime factorisation method, the numbers can be illustrated as the product of prime numbers. Hence the numbers 4 and 18 can be denoted as;
4 = 2 × 2
18 = 2 × 3 × 3
LCM (4, 18) = 2 × 2 × 3 × 3 = 36
LCM of 4 and 18 Using Division Method
In the division method, to find the least common multiple of 4 and 18, we divide the numbers 4 and 18 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 18.
| 2 | 4 | 18 |
| 2 | 2 | 9 |
| 3 | 1 | 9 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No more further division can be done.
Hence, LCM (4, 18) = 2 × 2 × 3 × 3 = 36
LCM of 4 and 18 Using Listing the Multiples
In this method, by listing down the multiples of given numbers we find the least common multiple among them. The below table shows the multiples of 4 and 18.
| Multiples of 4 | Multiples of 18 |
| 4 | 18 |
| 8 | 36 |
| 12 | 54 |
| 16 | 72 |
| 20 | 90 |
| 24 | 108 |
| 28 | 126 |
| 32 | 144 |
| 36 | 162 |
| 40 | 180 |
LCM (4, 18) = 36
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 4 and 18?
Solution: 36 is the smallest number that is divisible by both 4 and 18.
Q. 2: The GCD and LCM of the two numbers are 2 and 36. If one number is 4, calculate the other number.
Solution: Let the other number be z
We know that,
GCD × LCM = 4 × z
z = (GCD × LCM) / 4
z = (2 × 36) / 4
z = 18
Hence the other number is 18.
Frequently Asked Questions on LCM of 4 and 18
What is the LCM of 4 and 18?
Is the LCM of 4 and 18 the same as the HCF of 4 and 18?
Is 46 the LCM of 4 and 18?
How to find the LCM of 4 and 18 using Prime Factorisation?
Here, we express the given numbers as the product of prime factors
4 = 2 × 2
18 = 2 × 3 × 3
LCM (4, 18) = 2 × 2 × 3 × 3 = 36
Name the methods used to determine the LCM of 4 and 18.
The methods used to determine the LCM of 4 and 18 are as follows:
Prime Factorisation
Division Method
Listing the Multiples
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