LCM of 4 and 6 is the the smallest number among all typical multiples that 4 and also 6. The first couple of multiples that 4 and 6 are (4, 8, 12, 16, 20, 24, . . . ) and (6, 12, 18, 24, . . . ) respectively. There space 3 commonly used techniques to find LCM that 4 and also 6 - by listing multiples, by prime factorization, and by department method.

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

Answer: LCM of 4 and 6 is 12.

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Explanation:

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


The techniques to find the LCM the 4 and 6 are described below.

By Listing MultiplesBy prime Factorization MethodBy division Method

LCM that 4 and also 6 by Listing Multiples

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To calculation the LCM of 4 and 6 through listing the end the usual multiples, we have the right to follow the given below steps:

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

∴ The least common multiple that 4 and also 6 = 12.

LCM the 4 and 6 by prime Factorization

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

LCM the 4 and 6 by division Method

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

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

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

☛ also Check:


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FAQs ~ above LCM of 4 and also 6

What is the LCM the 4 and also 6?

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

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

LCM(6, 4) × GCF(6, 4) = 6 × 4Since the LCM that 6 and also 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 deserve to be offered to refer the relation in between GCF and LCM that 4 and also 6, i.e. GCF × LCM = 4 × 6.

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

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

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

The typically used methods to discover the LCM the 4 and 6 are: