LCM of 8 and 16 is 16. Students can learn how to find the LCM and HCF using the prime factorisation and division method more effectively by following the article Prime Factorisation and Division Method for LCM and HCF, which is the best reference guide as per the experts. To solve the problems in an easy manner, it is essential for students to grasp the LCM concept thoroughly. Learn how to determine the least common multiple of 8 and 16 with examples and FAQs in a precise manner in this article.
What is LCM of 8 and 16?
The least common multiple of 8 and 16 is 16.
How to Find LCM of 8 and 16?
We can find the LCM of 8 and 16 by using the methods given below:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 8 and 16 Using Prime Factorisation Method
By prime factorisation method, we can write 8 and 16 as the product of prime numbers, such that;
8 = 2 × 2 × 2
16 = 2 × 2 × 2 × 2
LCM (8, 16) = 2 × 2 × 2 × 2 = 16
LCM of 8 and 16 Using Division Method
In this method, we divide the numbers 8 and 16 by their prime factors to find their LCM. The product of these divisors denotes the least common multiple of 8 and 16. This can be shown as below.
|
2 |
8 |
16 |
|
2 |
4 |
8 |
|
2 |
2 |
4 |
|
2 |
1 |
2 |
|
x |
1 |
1 |
No more further division can be done.
Thus, LCM (8, 16) = 2 × 2 × 2 × 2 = 16
LCM of 8 and 16 Using Listing the Multiples
Here we list out the multiples of 8 and 16 to find their least common multiple as shown below:
|
Multiples of 8 |
Multiples of 16 |
|
8 |
16 |
|
16 |
32 |
|
24 |
48 |
|
32 |
64 |
|
40 |
80 |
|
48 |
96 |
LCM (8, 16) = 16
Related Articles
Video Lesson on Applications of LCM
Solved Examples
Q. 1: What is the smallest number that is divisible by both 8 and 16?
Solution: 16 is the smallest number that is divisible by both 8 and 16.
Q. 2: Find the LCM of 8 and 16 by prime factorisation.
Solution: 8 = 2 × 2 × 2
16 = 2 × 2 × 2 × 2
LCM of 8 and 16 = 2 × 2 × 2 × 2 = 16
Therefore the LCM of 8 and 16 by prime factorisation is 16.
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