LCM the 4 and also 6 is the smallest number amongst all common multiples the 4 and also 6. The first few multiples of 4 and also 6 are (4, 8, 12, 16, 20, 24, . . . ) and (6, 12, 18, 24, . . . ) respectively. There room 3 commonly used approaches to discover LCM the 4 and 6 - through listing multiples, by element factorization, and also by department method.

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

Answer: LCM that 4 and also 6 is 12.

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Explanation:

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


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

By Listing MultiplesBy element Factorization MethodBy division Method

LCM the 4 and 6 by Listing Multiples

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To calculation the LCM that 4 and 6 by listing the end the usual multiples, we can follow the given listed below steps:

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

∴ The least usual multiple that 4 and 6 = 12.

LCM of 4 and also 6 by element Factorization

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

LCM that 4 and 6 by department Method

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

Step 3: continue the procedures until just 1s are left in the critical row.

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

☛ likewise Check:


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FAQs ~ above LCM the 4 and also 6

What is the LCM of 4 and 6?

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

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

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

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

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

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

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

What room the techniques to discover LCM that 4 and 6?

The frequently used approaches to find the LCM that 4 and 6 are: