LCM of 6 and 14 is the smallest number among all typical multiples the 6 and also 14. The first few multiples the 6 and 14 room (6, 12, 18, 24, 30, . . . ) and (14, 28, 42, 56, 70, 84, . . . ) respectively. There room 3 typically used techniques to find LCM that 6 and 14 - by division method, by listing multiples, and by prime factorization.

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

Answer: LCM that 6 and 14 is 42.

Explanation:

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

The techniques to discover the LCM that 6 and also 14 are described below.

By department MethodBy prime Factorization MethodBy Listing Multiples

### LCM that 6 and 14 by department Method

To calculation the LCM that 6 and also 14 by the division method, we will certainly divide the numbers(6, 14) by their prime determinants (preferably common). The product of this divisors provides the LCM the 6 and also 14.

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

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

### LCM of 6 and also 14 by prime Factorization

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

### LCM the 6 and 14 by Listing Multiples

To calculate the LCM that 6 and also 14 by listing the end the typical multiples, we deserve to follow the given listed below steps:

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

∴ The least typical multiple of 6 and also 14 = 42.

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## FAQs top top LCM of 6 and also 14

### What is the LCM the 6 and 14?

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

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

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

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

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

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### How to find the LCM of 6 and also 14 by prime Factorization?

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

### What space the approaches to uncover LCM of 6 and 14?

The frequently used techniques to uncover the LCM of 6 and also 14 are: