LCM of 12 and also 14 is the the smallest number among all typical multiples of 12 and also 14. The first couple of multiples of 12 and also 14 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (14, 28, 42, 56, 70, 84, . . . ) respectively. There are 3 typically used techniques to discover LCM the 12 and 14 - by listing multiples, by division method, and also by prime factorization.

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

Answer: LCM of 12 and also 14 is 84.

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Explanation:

The LCM of 2 non-zero integers, x(12) and y(14), is the smallest hopeful integer m(84) that is divisible by both x(12) and also y(14) without any kind of remainder.


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

By division MethodBy element Factorization MethodBy Listing Multiples

LCM of 12 and 14 by division Method

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To calculate the LCM the 12 and also 14 by the division method, we will certainly divide the numbers(12, 14) by their prime factors (preferably common). The product of these divisors provides the LCM of 12 and 14.

Step 3: proceed the procedures until only 1s room left in the last row.

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

LCM of 12 and 14 by element Factorization

Prime administrate of 12 and 14 is (2 × 2 × 3) = 22 × 31 and (2 × 7) = 21 × 71 respectively. LCM that 12 and also 14 deserve to be acquired by multiply prime determinants raised to your respective highest power, i.e. 22 × 31 × 71 = 84.Hence, the LCM of 12 and also 14 by element factorization is 84.

LCM of 12 and 14 by Listing Multiples

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To calculation the LCM the 12 and 14 by listing the end the common 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 common multiples native the multiples of 12 and 14 are 84, 168, . . .Step 3: The smallest typical multiple the 12 and 14 is 84.

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

☛ additionally Check:


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FAQs on LCM that 12 and 14

What is the LCM of 12 and also 14?

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

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

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

How to uncover the LCM that 12 and also 14 by prime Factorization?

To discover the LCM that 12 and 14 making use of prime factorization, we will uncover the element factors, (12 = 2 × 2 × 3) and also (14 = 2 × 7). LCM that 12 and also 14 is the product that prime factors raised to their respective greatest exponent among the numbers 12 and also 14.⇒ LCM the 12, 14 = 22 × 31 × 71 = 84.

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

The adhering to equation can be used to to express the relation in between GCF and also LCM the 12 and also 14, i.e. GCF × LCM = 12 × 14.

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

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