LCM the 6 and also 8 is the smallest number amongst all typical multiples that 6 and also 8. The first couple of multiples that 6 and also 8 room (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There space 3 generally used techniques to find LCM that 6 and 8 - by element factorization, by department method, and by listing multiples.

You are watching: The least common multiple of 6 and 8

1.LCM that 6 and also 8
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 6 and also 8 is 24.

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Explanation:

The LCM of 2 non-zero integers, x(6) and also y(8), is the smallest optimistic integer m(24) the is divisible by both x(6) and y(8) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM that 6 and 8.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 6 and also 8 by prime Factorization

Prime administrate of 6 and 8 is (2 × 3) = 21 × 31 and also (2 × 2 × 2) = 23 respectively. LCM of 6 and 8 deserve to be acquired by multiplying prime determinants raised to your respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM the 6 and 8 by prime factorization is 24.

LCM the 6 and 8 through Listing Multiples

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To calculate the LCM that 6 and 8 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a few multiples the 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and 8 (8, 16, 24, 32, . . . . )Step 2: The common multiples from the multiples of 6 and also 8 space 24, 48, . . .Step 3: The smallest typical multiple the 6 and also 8 is 24.

∴ The least usual multiple the 6 and 8 = 24.

LCM of 6 and 8 by division Method

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To calculation the LCM the 6 and also 8 through the department method, we will divide the numbers(6, 8) by your prime factors (preferably common). The product of these divisors offers the LCM the 6 and also 8.

Step 3: proceed the procedures until just 1s space left in the critical row.

The LCM of 6 and also 8 is the product of all prime number on the left, i.e. LCM(6, 8) by division method = 2 × 2 × 2 × 3 = 24.

☛ also Check:


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FAQs top top LCM the 6 and also 8

What is the LCM of 6 and also 8?

The LCM that 6 and 8 is 24. To uncover the least usual multiple (LCM) the 6 and also 8, we require to find the multiples that 6 and also 8 (multiples of 6 = 6, 12, 18, 24; multiples the 8 = 8, 16, 24, 32) and also choose the the smallest multiple that is precisely divisible by 6 and 8, i.e., 24.

What is the least Perfect Square Divisible through 6 and 8?

The the very least number divisible by 6 and 8 = LCM(6, 8)LCM that 6 and also 8 = 2 × 2 × 2 × 3 ⇒ least perfect square divisible by each 6 and also 8 = LCM(6, 8) × 2 × 3 = 144 Therefore, 144 is the compelled number.

Which the the adhering to is the LCM the 6 and 8? 15, 42, 24, 28

The value of LCM that 6, 8 is the smallest typical multiple of 6 and also 8. The number to solve the given condition is 24.

If the LCM that 8 and 6 is 24, uncover its GCF.

LCM(8, 6) × GCF(8, 6) = 8 × 6Since the LCM the 8 and also 6 = 24⇒ 24 × GCF(8, 6) = 48Therefore, the greatest typical factor (GCF) = 48/24 = 2.

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How to uncover the LCM that 6 and 8 by prime Factorization?

To find the LCM the 6 and also 8 making use of prime factorization, we will discover the prime factors, (6 = 2 × 3) and (8 = 2 × 2 × 2). LCM that 6 and also 8 is the product that prime factors raised to their respective highest exponent amongst the numbers 6 and 8.⇒ LCM of 6, 8 = 23 × 31 = 24.