LCM of 6 and also 14 is the smallest number among all common multiples the 6 and also 14. The first few multiples of 6 and 14 are (6, 12, 18, 24, 30, . . . ) and also (14, 28, 42, 56, 70, 84, . . . ) respectively. There are 3 commonly used methods to uncover LCM the 6 and also 14 - by division method, by listing multiples, and by prime factorization.

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1.LCM that 6 and 14
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 6 and also 14 is 42.

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Explanation:

The LCM of 2 non-zero integers, x(6) and also y(14), is the smallest positive integer m(42) that is divisible by both x(6) and y(14) without any kind of remainder.


The approaches to discover the LCM of 6 and 14 are defined below.

By division MethodBy element Factorization MethodBy Listing Multiples

LCM that 6 and also 14 by department Method

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To calculate the LCM that 6 and 14 through the division method, we will divide the numbers(6, 14) by your prime components (preferably common). The product of this divisors gives the LCM the 6 and also 14.

Step 3: proceed the steps until only 1s space left in the critical row.

The LCM of 6 and 14 is the product of every prime numbers on the left, i.e. LCM(6, 14) by department method = 2 × 3 × 7 = 42.

LCM the 6 and 14 by element Factorization

Prime administrate of 6 and 14 is (2 × 3) = 21 × 31 and (2 × 7) = 21 × 71 respectively. LCM of 6 and 14 can be acquired by multiply prime factors raised to their respective highest power, i.e. 21 × 31 × 71 = 42.Hence, the LCM of 6 and also 14 by prime factorization is 42.

LCM of 6 and also 14 by Listing Multiples

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To calculate the LCM that 6 and 14 through listing the end the typical multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples of 6 (6, 12, 18, 24, 30, . . . ) and also 14 (14, 28, 42, 56, 70, 84, . . . . )Step 2: The typical multiples native the multiples the 6 and also 14 room 42, 84, . . .Step 3: The smallest common multiple the 6 and 14 is 42.

∴ The least usual multiple the 6 and 14 = 42.

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FAQs on LCM that 6 and also 14

What is the LCM that 6 and 14?

The LCM of 6 and also 14 is 42. To discover the LCM that 6 and 14, we require to uncover the multiples of 6 and also 14 (multiples the 6 = 6, 12, 18, 24 . . . . 42; multiples the 14 = 14, 28, 42, 56) and choose the smallest multiple the is precisely divisible through 6 and also 14, i.e., 42.

If the LCM of 14 and 6 is 42, uncover its GCF.

LCM(14, 6) × GCF(14, 6) = 14 × 6Since the LCM of 14 and 6 = 42⇒ 42 × GCF(14, 6) = 84Therefore, the greatest usual factor = 84/42 = 2.

What is the the very least Perfect Square Divisible by 6 and 14?

The least number divisible through 6 and 14 = LCM(6, 14)LCM of 6 and 14 = 2 × 3 × 7 ⇒ the very least perfect square divisible by every 6 and 14 = LCM(6, 14) × 2 × 3 × 7 = 1764 Therefore, 1764 is the required number.

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How to discover the LCM of 6 and 14 by prime Factorization?

To uncover the LCM of 6 and also 14 making use of prime factorization, us will find the element factors, (6 = 2 × 3) and also (14 = 2 × 7). LCM of 6 and 14 is the product that prime factors raised to your respective highest exponent among the numbers 6 and also 14.⇒ LCM the 6, 14 = 21 × 31 × 71 = 42.

What room the techniques to find LCM that 6 and also 14?

The commonly used approaches to uncover the LCM of 6 and also 14 are: