LCM of 16 and 18 is 144. The smallest common multiple which is divisible evenly by the two given numbers is the LCM. Students can find the least common multiples of 16 and 18 from the common multiples. (16, 32, 48, 64, 80, 96, 112, ….) and (18, 36, 54, 72, ….) are the multiples of 16 and 18. The LCM of two numbers is determined with the help of methods like listing the multiples, prime factorization and division method.
Also read: Least common multiple
What is LCM of 16 and 18?
The answer to this question is 144. The LCM of 16 and 18 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 16 and 18, is the smallest positive integer 144 which is divisible by both 16 and 18 with no remainder.
How to Find LCM of 16 and 18?
LCM of 16 and 18 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16 and 18 Using Prime Factorisation Method
The prime factorisation of 16 and 18, respectively, is given by:
16 = 2 x 2 x 2 x 2 = 2⁴
18 = 2 x 3 x 3 = 2¹ x 3²
LCM (16, 18) = 144
LCM of 16 and 18 Using Division Method
We’ll divide the numbers (16, 18) by their prime factors to get the LCM of 16 and 18 using the division method (preferably common). The LCM of 16 and 18 is calculated by multiplying these divisors.
| 2 | 16 | 18 |
| 2 | 8 | 9 |
| 2 | 4 | 9 |
| 2 | 2 | 9 |
| 3 | 1 | 9 |
| 3 | 1 | 3 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (16, 18) = 144
LCM of 16 and 18 Using Listing the Multiples
To calculate the LCM of 16 and 18 by listing out the common multiples, list the multiples as shown below
| Multiples of 16 | Multiples of 18 |
| 16 | 18 |
| 32 | 36 |
| 48 | 54 |
| 64 | 72 |
| 80 | 90 |
| 96 | 108 |
| 112 | 126 |
| 128 | 144 |
| 144 | 162 |
LCM (16, 18) = 144
Related Articles
Video Lesson on Applications of LCM
LCM of 16 and 18 Solved Example
What is the smallest number exactly divisible by 16 and 18?
Solution:
We know that
LCM is the smallest number exactly divisible by 16 and 18.
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, ….
Multiples of 18 = 18, 36, 54, 72, 90, 108, 126, 144, ….
Hence, the LCM of 16 and 18 is 144.
Frequently Asked Questions on LCM of 16 and 18
How to find the LCM of 16 and 18?
The LCM of 16 and 18 can be found using the following methods
Prime Factorisation
Division method
Listing the multiples
Use the prime factorisation method and find the LCM of 16 and 18.
To get the LCM, we should know the factors
16 = 2 x 2 x 2 x 2 = 2⁴
18 = 2 x 3 x 3 = 2¹ x 3²
LCM is the product of prime factors raised to the highest exponent among 16 and 18.
LCM of 16 and 18 = 144
Find the GCF if the LCM of 16 and 18 is 144.
LCM x GCF = 16 x 18
As the LCM = 144
144 x GCF = 288
GCF = 288/144 = 2
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