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

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

Answer: LCM the 4 and also 6 is 12.

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Explanation:

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


The methods to uncover the LCM the 4 and 6 are described below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM that 4 and also 6 by Listing Multiples

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To calculate the LCM that 4 and 6 by listing the end the common multiples, we deserve to follow the given listed below steps:

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

∴ The least usual multiple the 4 and also 6 = 12.

LCM that 4 and also 6 by prime Factorization

Prime administer of 4 and also 6 is (2 × 2) = 22 and also (2 × 3) = 21 × 31 respectively. LCM that 4 and also 6 deserve to be derived by multiplying prime factors raised to your respective highest power, i.e. 22 × 31 = 12.Hence, the LCM of 4 and 6 by prime factorization is 12.

LCM that 4 and also 6 by division Method

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To calculate the LCM the 4 and also 6 through the department method, we will divide the numbers(4, 6) by their prime determinants (preferably common). The product of these divisors offers the LCM of 4 and 6.

Step 3: continue the steps until just 1s are left in the last row.

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

☛ likewise Check:


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FAQs ~ above LCM that 4 and also 6

What is the LCM the 4 and also 6?

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

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

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

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

The complying with equation have the right to be offered to express the relation in between GCF and also LCM that 4 and also 6, i.e. GCF × LCM = 4 × 6.

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

The the very 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 forced number.

What space the approaches to find LCM the 4 and 6?

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