LCM of 18 and 32 is 288. The smallest common multiple which is divisible evenly by the two given numbers is the LCM. The smallest number among all frequent multiples of 18 and 32 is the LCM of 18 and 32. (18, 36, 54, 72, 90, 108, etc.) and (32, 64, 96, 128, 160, etc.) are the first few multiples of 18 and 32, respectively. The LCM of two numbers is determined with the help of methods like listing the multiples, prime factorization and division method.
What is LCM of 18 and 32?
The answer to this question is 288. The LCM of 18 and 32 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 18 and 32, is the smallest positive integer 288 which is divisible by both 18 and 32 with no remainder.
Also read: Least common multiple
How to Find LCM of 18 and 32?
LCM of 18 and 32 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 18 and 32 Using Prime Factorisation Method
The prime factorisation of 18 and 32, respectively, is given by:
18 = (2 × 3 × 3) = 21 × 32 and
32 = (2 × 2 × 2 × 2 × 2) = 25
LCM (18, 32) = 288
LCM of 18 and 32 Using Division Method
We’ll divide the numbers (18, 32) by their prime factors to get the LCM of 18 and 32 using the division method (preferably common). The LCM of 18 and 32 is calculated by multiplying these divisors.
| 2 | 18 | 32 |
| 2 | 9 | 16 |
| 2 | 9 | 8 |
| 2 | 9 | 4 |
| 2 | 9 | 2 |
| 3 | 9 | 1 |
| 3 | 3 | 1 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (18, 32) = 288
LCM of 18 and 32 Using Listing the Multiples
To calculate the LCM of 18 and 32 by listing out the common multiples, list the multiples as shown below.
| Multiples of 18 | Multiples of 32 |
| 18 | 32 |
| 36 | 64 |
| 54 | 96 |
| 72 | 128 |
| 90 | 160 |
| 108 | 192 |
| 126 | 224 |
| …… | 256 |
| 288 | 288 |
The smallest common multiple of 18 and 32 is 288.
LCM (18, 32) = 288
Related Articles
Video Lesson on Applications of LCM
LCM of 18 and 32 Solved Example
The GCD and LCM of two numbers are 2 and 288 respectively. If one number is 18, find the other number.
Solution:
Let the other number be b.
∵ GCD × LCM = 18 × b
⇒ b = (GCD × LCM)/18
⇒ b = (2 × 288)/18
⇒ b = 32
Therefore, the other number is 32.
Frequently Asked Questions on LCM of 18 and 32
How to find the LCM of 18 and 32?
Prime Factorisation
Division method
Listing the multiples
Comments