LCM of 2 and 14

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.

lcm of 2 and 14

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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Video Lesson on Applications of LCM

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?

The LCM of 2 and 14 is 14. To find the LCM (least common multiple) of 2 and 14, we need to find the multiples of 2 and 14 (multiples of 2 = 2, 4, 6, 8 . . . . 14; multiples of 14 = 14, 28, 42, 56) and choose the smallest multiple that is exactly divisible by 2 and 14, i.e., 14.

List the methods used to find the LCM of 2 and 14.

The methods used to find the LCM of 2 and 14 are Prime Factorization Method, Division Method and Listing multiples.

Which of the following is the LCM of 2 and 14? 45, 36, 25, 14

The value of LCM of 2, 14 is the smallest common multiple of 2 and 14. The number satisfying the given condition is 14.

What is the Relation Between GCF and LCM of 2, 14?

The following equation can be used to express the relation between GCF and LCM of 2 and 14, i.e. GCF × LCM = 2 × 14.

If the LCM of 14 and 2 is 14, Find its GCF.

LCM(14, 2) × GCF(14, 2) = 14 × 2
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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