LCM of 4 and 16 is 16. The Least Common Multiple, or LCM, is the smallest number that can be evenly split into all of the numbers being addressed, whether they are two or more. The smallest number among all common multiples of 4 and 16 is the LCM of 4 and 16. (4, 8, 12, 16, 20, 24, 28,…) and (16, 32, 48, 64, 80, 96,…) are the first few multiples of 4 and 16 correspondingly. To find the LCM of Two Numbers that is 4 and 16, there are three typical methods: listing multiples, division method, and prime factorization.
Also read: Least common multiple
What is LCM of 4 and 16?
The answer to this question is 16. The LCM of 4 and 16 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 4 and 16, is the smallest positive integer 16 which is divisible by both 4 and 16 with no remainder.
How to Find LCM of 4 and 16?
LCM of 4 and 16 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 4 and 16 Using Prime Factorisation Method
The prime factorisation of 4 and 16, respectively, is given by:
4 = (2 × 2) = 22 and
16 = (2 × 2 × 2 × 2) = 24
LCM (4, 16) = 28
LCM of 4 and 16 Using Division Method
We’ll divide the numbers (4, 16) by their prime factors to get the LCM of 4 and 16 using the division method (preferably common). The LCM of 4 and 16 is calculated by multiplying these divisors.
| 2 | 4 | 16 |
| 2 | 2 | 8 |
| 4 | 1 | 4 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (4, 16) = 16
LCM of 4 and 16 Using Listing the Multiples
To calculate the LCM of 4 and 16 by listing out the common multiples, list the multiples as shown below
| Multiples of 4 | Multiples of 16 |
| 4 | 16 |
| 8 | 32 |
| 12 | 48 |
| 16 | 64 |
| 20 | 80 |
| 24 | – |
| 28 | – |
The smallest common multiple of 4 and 16 is 16.
LCM (4, 16) = 16
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Video Lesson on Applications of LCM
LCM of 4 and 16 Solved Example
Question: The product of two numbers is 64. If their GCD is 4, what is their LCM?
Solution: Given: GCD = 4
product of numbers = 64
LCM × GCD = product of numbers
LCM = Product/GCD = 64/4
Therefore, the LCM is 16.
The probable combination for the given case is LCM(4, 16) = 16.
Frequently Asked Questions on LCM of 4 and 16
What is the LCM of 4 and 16?
What is the Relation Between GCF and LCM of 4, 16?
What are the Methods to Find LCM of 4 and 16?
Listing Multiples
Prime Factorization Method
Division Method.
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