LCM of 16 and 40 is 80. Among all common multiples of 16 and 40, the LCM of 16 and 40 is the smallest number. (16, 32, 48, 64, etc.) and (40, 80, 120, 160, 200, 240, etc.) respectively are the first few multiples of 16 and 40. To find the LCM of 16 and 40, you can use one of three methods: listing multiples, prime factorization, or division. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers.
Also read: Least common multiple
What is LCM of 16 and 40?
The answer to this question is 80. The LCM of 16 and 40 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 16 and 40, is the smallest positive integer 80 which is divisible by both 16 and 40 with no remainder.
How to Find LCM of 16 and 40?
LCM of 16 and 40 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16 and 40 Using Prime Factorisation Method
The prime factorisation of 16 and 40, respectively, is given by:
16 = (2 × 2 × 2 × 2) = 24
40 = (2 × 2 × 2 × 5) = 23 × 51
LCM (16, 40) = 80
LCM of 16 and 40 Using Division Method
We’ll divide the numbers (16, 40) by their prime factors to get the LCM of 16 and 40 using the division method (preferably common). The LCM of 16 and 40 is calculated by multiplying these divisors.
| 2 | 16 | 40 |
| 2 | 8 | 20 |
| 2 | 4 | 10 |
| 2 | 2 | 5 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (16, 40) = 80
LCM of 16 and 40 Using Listing the Multiples
To calculate the LCM of 16 and 40 by listing out the common multiples, list the multiples as shown below.
| Multiples of 16 | Multiples of 40 |
| 16 | 40 |
| 32 | 80 |
| 48 | 120 |
| 64 | 160 |
| 80 | 200 |
The smallest common multiple of 16 and 40 is 80.
Therefore LCM (16, 40) = 80
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LCM of 16 and 40 Solved Example
Question: Determine the smallest number that is exactly divisible by 16 and 40.
Solution:
The LCM is the smallest number that is exactly divisible by 16 and 40. Multiples of 16 and 40:
16, 32, 48, 64, 80, and so on are all multiples of 16.
40, 80, 120, 160, 200, and so on are all multiples of 40.
As a result, the LCM of 16 and 40 equals 80.
Frequently Asked Questions on LCM of 16 and 40
What is the LCM of 16 and 40?
List the methods used to find the LCM of 16 and 40.
If the LCM of 40 and 16 is 80, Find its GCF.
Since the LCM of 40 and 16 = 80
⇒ 80 × GCF(40, 16) = 640
Therefore, the greatest common factor (GCF) = 640/80 = 8.
What is the Least Perfect Square Divisible by 16 and 40?
LCM of 16 and 40 = 2 × 2 × 2 × 2 × 5 [Incomplete pair(s): 5] ⇒ Least perfect square divisible by each 16 and 40 = LCM(16, 40) × 5 = 400 [Square root of 400 = √400 = ±20] Therefore, 400 is the required number.
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