LCM of 2 and 16 is 16. The number evenly divisible by 2 and 16 gives the LCM value. Least common multiples of 2 and 16 are the common multiples of the numbers. (2, 4, 6, 8, 10, 12, 14, 16, ….) and (16, 32, 48, 64,….) are the multiples of 2 and 16. The LCM of two numbers according to the prime factorization method, division method and listing out the multiples is provided in a stepwise format in this article.
Also read: Least common multiple
What is LCM of 2 and 16?
The answer to this question is 16. The LCM of 2 and 16 using various methods is shown in this article for your reference. The LCM of 2 and 16, is the smallest positive integer 16 divisible by 2 and 16 with no remainder.
How to Find LCM of 2 and 16?
The LCM of 2 and 16 can be determined using the following methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 16 Using Prime Factorisation Method
The prime factorisation of 2 and 16 can be written as:
2 = 2 = 2¹
16 = 2 x 2 x 2 x 2 = 2⁴
LCM (2, 16) = 16
LCM of 2 and 16 Using Division Method
We have to divide (2, 16) by the factors to get the LCM value of 2 and 16. The LCM of 2 and 16 is obtained by multiplying the divisors.
|
2 |
2 |
16 |
|
2 |
1 |
8 |
|
2 |
1 |
4 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (2, 16) = 16
LCM of 2 and 16 Using Listing the Multiples
The LCM of 2 and 16 by listing out the common multiples is given below
|
Multiples of 2 |
Multiples of 16 |
|
2 |
16 |
|
4 |
32 |
|
6 |
48 |
|
8 |
64 |
|
10 |
80 |
|
12 |
96 |
|
14 |
112 |
|
16 |
128 |
|
18 |
144 |
LCM (2, 16) = 16
Related Articles
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
Video Lesson on Applications of LCM
LCM of 2 and 16 Solved Examples
Question: What is the smallest number exactly divisible by 2 and 16?
Solution:
We know that
The smallest number which is exactly divisible by 2 and 16 is the LCM.
Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, …..
Multiples of 16 = 16, 32, 48, 64, ….
Hence, the LCM of 2 and 16 is 16.
Frequently Asked Questions on LCM of 2 and 16
Calculate the LCM of 2 and 16 using the prime factorization method.
To determine the LCM using the prime factorization, we first have to find the prime factors.
2 = 2
16 = 2 x 2 x 2 x 2
LCM of 2 and 16 is the product of prime factors raised to the highest exponent among the numbers 2 and 16
LCM of 2 and 16 = 16
If the LCM of 2 and 16 is 16, find the GCF.
LCM x GCF = 2 x 16
Given
LCM of 2 and 16 = 16
16 x GCF = 32
GCF = 32/16 = 2
What is the relation between GCF and LCM of 2 and 16?
The relation between GCF and LCM of 2 and 16 is
LCM x GCF = 2 x 16
LCM x GCF = 32
The GCD is 2 and the product of two numbers is 32. Find the LCM of 2 and 16.
Given
GCD = 2
Product = 32
LCM x GCD = Product
LCM = Product/GCD = 32/2 = 16
Hence, the LCM of 2 and 16 is 16.
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