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

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1.LCM that 12 and also 14
2.List of 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 optimistic integer m(84) that is divisible through both x(12) and y(14) without any type of remainder.


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

By division MethodBy element Factorization MethodBy Listing Multiples

LCM of 12 and 14 by department Method

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

Step 3: proceed the steps until just 1s are left in the critical row.

The LCM that 12 and 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 the 12 and 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 obtained by multiplying prime components raised to your respective highest power, i.e. 22 × 31 × 71 = 84.Hence, the LCM that 12 and 14 by element factorization is 84.

LCM of 12 and also 14 by Listing Multiples

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

Step 1: perform a couple of multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and 14 (14, 28, 42, 56, 70, 84, . . . . )Step 2: The common multiples indigenous the multiples that 12 and 14 room 84, 168, . . .Step 3: The smallest usual multiple that 12 and also 14 is 84.

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

☛ additionally Check:


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FAQs on LCM the 12 and 14

What is the LCM of 12 and 14?

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

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

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

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

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

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

The adhering to equation have the right to be offered to to express the relation between GCF and LCM the 12 and also 14, i.e. GCF × LCM = 12 × 14.

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

The the very least number divisible by 12 and also 14 = LCM(12, 14)LCM of 12 and 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.