LCM the 12 and 14 is the smallest number among all typical multiples of 12 and also 14. The first few multiples of 12 and also 14 room (12, 24, 36, 48, 60, 72, 84, . . . ) and also (14, 28, 42, 56, 70, 84, . . . ) respectively. There space 3 frequently used methods to uncover LCM of 12 and also 14 - through listing multiples, by division method, and also by element factorization.

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1.LCM the 12 and also 14
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and also 14 is 84.

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Explanation:

The LCM of two non-zero integers, x(12) and y(14), is the smallest positive integer m(84) the is divisible by both x(12) and also y(14) without any type of remainder.


The approaches to find the LCM the 12 and also 14 are defined below.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM that 12 and 14 by division Method

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To calculate the LCM that 12 and also 14 by the department method, we will divide the numbers(12, 14) by their prime determinants (preferably common). The product of this divisors provides the LCM the 12 and also 14.

Step 3: continue the steps until only 1s space left in the last row.

The LCM that 12 and also 14 is the product of every prime numbers on the left, i.e. LCM(12, 14) by department method = 2 × 2 × 3 × 7 = 84.

LCM of 12 and also 14 by prime Factorization

Prime administer of 12 and also 14 is (2 × 2 × 3) = 22 × 31 and (2 × 7) = 21 × 71 respectively. LCM of 12 and 14 can be derived by multiplying prime factors raised to their respective greatest power, i.e. 22 × 31 × 71 = 84.Hence, the LCM of 12 and 14 by prime factorization is 84.

LCM that 12 and also 14 through Listing Multiples

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To calculation the LCM of 12 and also 14 by listing out the typical multiples, we deserve to follow the given below steps:

Step 1: list a few multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and 14 (14, 28, 42, 56, 70, 84, . . . . )Step 2: The typical multiples native the multiples that 12 and 14 are 84, 168, . . .Step 3: The smallest common multiple that 12 and 14 is 84.

∴ The least usual multiple that 12 and 14 = 84.

☛ additionally Check:


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FAQs top top LCM of 12 and 14

What is the LCM the 12 and 14?

The LCM that 12 and also 14 is 84. To discover the LCM the 12 and also 14, we need to discover the multiples of 12 and 14 (multiples the 12 = 12, 24, 36, 48 . . . . 84; multiples of 14 = 14, 28, 42, 56 . . . . 84) and choose the the smallest multiple that is precisely divisible through 12 and 14, i.e., 84.

If the LCM the 14 and also 12 is 84, uncover its GCF.

LCM(14, 12) × GCF(14, 12) = 14 × 12Since the LCM of 14 and 12 = 84⇒ 84 × GCF(14, 12) = 168Therefore, the greatest common factor (GCF) = 168/84 = 2.

How to find the LCM that 12 and 14 by element Factorization?

To uncover the LCM of 12 and also 14 using prime factorization, us will discover the element factors, (12 = 2 × 2 × 3) and (14 = 2 × 7). LCM that 12 and 14 is the product of prime components raised to their respective highest exponent amongst the numbers 12 and 14.⇒ LCM of 12, 14 = 22 × 31 × 71 = 84.

What is the Relation between GCF and LCM that 12, 14?

The following equation can be supplied to to express the relation between GCF and also LCM that 12 and also 14, i.e. GCF × LCM = 12 × 14.

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What is the least Perfect Square Divisible by 12 and 14?

The the very least number divisible through 12 and 14 = LCM(12, 14)LCM of 12 and also 14 = 2 × 2 × 3 × 7 ⇒ the very least perfect square divisible by each 12 and 14 = LCM(12, 14) × 3 × 7 = 1764 Therefore, 1764 is the compelled number.