LCM of 14 and 28 is 28. The smallest number which is evenly divisible among the multiples of the 14 and 28 indicates the LCM. By glancing at the common multiples, the least common multiple of 14 and 28 can be determined. (14, 28, 42, 56, 70, 84, ….) and (28, 56, 84, 112, 140,….) are the multiples of 14 and 28. You can find the LCM value using the prime factorisation method, division method and listing the multiples.
Also read: Least common multiple
What is LCM of 14 and 28?
The answer to this question is 28. The LCM of 14 and 28 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 14 and 28, is the smallest positive integer 28 which is divisible by both 14 and 28 with no remainder.
How to Find LCM of 14 and 28?
LCM of 14 and 28 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 14 and 28 Using Prime Factorisation Method
The prime factorisation of 14 and 28, respectively, is given by:
14 = 2 x 7 = 2¹ x 7¹
28 = 2 x 2 x 7 = 2² x 7¹
LCM (14, 28) = 28
LCM of 14 and 28 Using Division Method
We’ll divide the numbers (14, 28) by their prime factors to get the LCM of 14 and 28 using the division method (preferably common). The LCM of 14 and 28 is calculated by multiplying these divisors.
| 2 | 14 | 28 |
| 2 | 7 | 14 |
| 7 | 7 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (14, 28) = 28
LCM of 14 and 28 Using Listing the Multiples
To calculate the LCM of 14 and 28 by listing out the common multiples, list the multiples as shown below
| Multiples of 14 | Multiples of 28 |
| 14 | 28 |
| 28 | 56 |
| 42 | 84 |
| 56 | 112 |
| 70 | 140 |
| 84 | 168 |
LCM (14, 28) = 28
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Video Lesson on Applications of LCM
LCM of 14 and 28 Solved Examples
If the GCD is 14 and the product of two numbers is 392, find the LCM.
Solution:
It is given that
Product of two numbers = 392
GCD = 14
We know that
LCM x GCD = Product of two numbers
LCM = Product/GCD
LCM = 392/14
LCM = 28
Hence, the LCM is 28.
Frequently Asked Questions on LCM of 14 and 28
What is the LCM of 14 and 28?
The LCM of 14 and 28 is 28.
The smallest multiple exactly divisible by 14 and 28 should be found.
Multiples of 14 = 14, 28, 42, 56, 70, 84, …
Multiples of 28 = 28, 56, 84, 112, 140, 168, ….
The smallest common multiple exactly divisible by 14 and 28 is 28.
List the methods which can be used to get the LCM value of 14 and 28.
What is the GCF if the LCM of 14 and 28 is 28?
LCM x GCF = 14 x 28
Given
LCM of 14 and 28 = 28
28 x GCF = 392
GCF = 392/28 = 14
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