LCM of 7 and 14 is 14. The value of LCM is the number evenly divisible by the given numbers 7 and 14. From the common multiples of 7 and 14, you will know how to find the least common multiple of 7 and 14. The multiples of 7 are (7, 14, 21, 28, 35, 42, ….) and the multiples of 14 are (14, 28, 42, 56, ….) respectively. Division, prime factorisation and listing of the multiples are the most commonly used methods to determine the LCM.
Also read: Least common multiple
What is LCM of 7 and 14?
The answer to this question is 14. The LCM of 7 and 14 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 7 and 14, is the smallest positive integer 14 which is divisible by both 7 and 14 with no remainder.
How to Find LCM of 7 and 14?
LCM of 7 and 14 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 14 Using Prime Factorisation Method
The prime factorisation of 7 and 14, respectively, is given by:
7 = 7¹
14 = 2 x 7 = 2¹ x 7¹
LCM (7, 14) = 14
LCM of 7 and 14 Using Division Method
We’ll divide the numbers (7, 14) by their prime factors to get the LCM of 7 and 14 using the division method (preferably common). The LCM of 7 and 14 is calculated by multiplying these divisors.
| 2 | 7 | 14 |
| 7 | 7 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (7, 14) = 14
LCM of 7 and 14 Using Listing the Multiples
To calculate the LCM of 7 and 14 by listing out the common multiples, list the multiples as shown below
| Multiples of 7 | Multiples of 14 |
| 7 | 14 |
| 14 | 28 |
| 21 | 42 |
| 28 | 56 |
LCM (7, 14) = 14
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Video Lesson on Applications of LCM
LCM of 7 and 14 Solved Examples
Question: If the product of two numbers is 98, find the LCM if the GCD is 7.
Solution:
It is given that
GCD = 7
Product of two numbers = 98
We know that
LCM x GCD = product of two numbers
LCM = product of two numbers/ GCD
LCM = 98/7
LCM = 14
Hence, the LCM is 14.
Frequently Asked Questions on LCM of 7 and 14
What is the LCM of 7 and 14?
We know that
Multiples of 7 = 7, 14, 21, 28, 35, ….
Multiples of 14 = 14, 28, 42, 56, ….
The smallest multiple exactly divisible by 7 and 14 is 14.
If the LCM of 7 and 14 is 14, what is the GCF?
LCM x GCF = 7 x 14
Given;
LCM of 7 and 14 is 14
14 x GCF = 98
GCF = 98/14 = 7
List the methods used to find the LCM of 7 and 14.
The methods used to find the LCM of 7 and 14 are:
Division method
Prime Factorisation
Listing the multiples
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