LCM of 2 and 14 is 14. The smallest number among all common multiples of 2 and 14 is the LCM of 2 and 14. (2, 4, 6, 8, 10, etc.) and (14, 28, 42, 56, 70, etc.) are the first few multiples of 2 and 14, correspondingly. To find the LCM of 2 and 14, there are basically three methods: prime factorization, listing multiples, and division. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers.
Also read: Least common multiple
What is LCM of 2 and 14?
The answer to this question is 14. The LCM of 2 and 14 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 2 and 14, is the smallest positive integer 14 which is divisible by both 2 and 14 with no remainder.
How to Find LCM of 2 and 14?
LCM of 2 and 14 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 14 Using Prime Factorisation Method
The prime factorisation of 2 and 14, respectively, is given by:
(2) = 21 and
14 = (2 × 7) = 21 × 71
LCM (2, 14) = 14
LCM of 2 and 14 Using Division Method
We’ll divide the numbers (2, 14) by their prime factors to get the LCM of 2 and 14 using the division method (preferably common). The LCM of 2 and 14 is calculated by multiplying these divisors.
| 2 | 2 | 14 |
| 7 | 1 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (2, 14) = 14
LCM of 2 and 14 Using Listing the Multiples
To calculate the LCM of 2 and 14 by listing out the common multiples, list the multiples as shown below
| Multiples of 2 | Multiples of 14 |
| 2 | 14 |
| 4 | 28 |
| 6 | 42 |
| 8 | 56 |
| 10 | 70 |
| 12 | 84 |
| 14 | 98 |
The smallest common multiple of 2 and 14 is 14.
Therefore LCM (2, 14) = 14
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LCM of 2 and 14 Solved Example
The product of two numbers is 28. If their GCD is 2, what is their LCM?
Solution:
Given: GCD = 2
product of numbers = 28
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 28/2
Therefore, the LCM is 14.
The probable combination for the given case is LCM(2, 14) = 14.
Frequently Asked Questions on LCM of 2 and 14
What is the LCM of 2 and 14?
List the methods used to find the LCM of 2 and 14.
Which of the following is the LCM of 2 and 14? 45, 36, 25, 14
What is the Relation Between GCF and LCM of 2, 14?
If the LCM of 14 and 2 is 14, Find its GCF.
Since the LCM of 14 and 2 = 14
⇒ 14 × GCF(14, 2) = 28
Therefore, the GCF (greatest common factor) = 28/14 = 2.
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