LCM that 4 and 6 is the the smallest number amongst all usual multiples of 4 and also 6. The first few multiples that 4 and also 6 space (4, 8, 12, 16, 20, 24, . . . ) and (6, 12, 18, 24, . . . ) respectively. There room 3 generally used approaches to find LCM that 4 and also 6 - by listing multiples, by element factorization, and also by division method.

You are watching: Find the least common multiple of 4 and 6

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

Answer: LCM the 4 and 6 is 12.

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Explanation:

The LCM of 2 non-zero integers, x(4) and y(6), is the smallest optimistic integer m(12) that is divisible through both x(4) and y(6) without any type of remainder.


The approaches to discover the LCM that 4 and also 6 are defined below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM that 4 and also 6 through Listing Multiples

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To calculation the LCM the 4 and also 6 by listing out the common multiples, we deserve to follow the given listed below steps:

Step 1: list a couple of multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 6 (6, 12, 18, 24, . . . . )Step 2: The common multiples native the multiples the 4 and 6 are 12, 24, . . .Step 3: The smallest common multiple the 4 and 6 is 12.

∴ The least common multiple the 4 and 6 = 12.

LCM the 4 and 6 by prime Factorization

Prime administer of 4 and also 6 is (2 × 2) = 22 and (2 × 3) = 21 × 31 respectively. LCM of 4 and 6 have the right to be acquired by multiply prime determinants raised to their respective greatest power, i.e. 22 × 31 = 12.Hence, the LCM that 4 and 6 by prime factorization is 12.

LCM the 4 and also 6 by department Method

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To calculate the LCM of 4 and also 6 by the division method, we will divide the numbers(4, 6) by their prime components (preferably common). The product of these divisors provides the LCM that 4 and 6.

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

The LCM of 4 and 6 is the product of all prime numbers on the left, i.e. LCM(4, 6) by division method = 2 × 2 × 3 = 12.

☛ additionally Check:


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FAQs top top LCM the 4 and also 6

What is the LCM of 4 and also 6?

The LCM the 4 and also 6 is 12. To find the least usual multiple (LCM) that 4 and 6, we require to discover the multiples of 4 and 6 (multiples the 4 = 4, 8, 12, 16; multiples that 6 = 6, 12, 18, 24) and also choose the smallest multiple the is specifically divisible through 4 and also 6, i.e., 12.

If the LCM of 6 and also 4 is 12, uncover its GCF.

LCM(6, 4) × GCF(6, 4) = 6 × 4Since the LCM the 6 and also 4 = 12⇒ 12 × GCF(6, 4) = 24Therefore, the GCF = 24/12 = 2.

What is the Relation between GCF and also LCM that 4, 6?

The adhering to equation can be used to express the relation between GCF and LCM of 4 and also 6, i.e. GCF × LCM = 4 × 6.

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What is the least Perfect Square Divisible through 4 and 6?

The least number divisible by 4 and 6 = LCM(4, 6)LCM of 4 and also 6 = 2 × 2 × 3 ⇒ the very least perfect square divisible by every 4 and 6 = LCM(4, 6) × 3 = 36 Therefore, 36 is the compelled number.

What space the techniques to uncover LCM of 4 and also 6?

The generally used techniques to find the LCM that 4 and also 6 are: