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

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

Answer: LCM that 4 and 6 is 12.

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Explanation:

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


The approaches to find the LCM of 4 and also 6 are defined below.

By Listing MultiplesBy prime Factorization MethodBy department Method

LCM of 4 and also 6 by Listing Multiples

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To calculate the LCM of 4 and also 6 by listing out the common multiples, we can follow the given below steps:

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

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

LCM that 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 derived by multiply prime determinants raised to your respective greatest power, i.e. 22 × 31 = 12.Hence, the LCM that 4 and also 6 by element factorization is 12.

LCM that 4 and also 6 by division Method

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

Step 3: proceed the actions until only 1s room left in the critical row.

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

☛ also Check:


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FAQs ~ above LCM the 4 and 6

What is the LCM that 4 and 6?

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

If the LCM of 6 and also 4 is 12, discover 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 in between GCF and LCM that 4, 6?

The following equation deserve to be supplied to express the relation between GCF and LCM the 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 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 find LCM of 4 and also 6?

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