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

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1.LCM of 4 and 6
2.List that 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 optimistic integer m(12) that is divisible by both x(4) and also y(6) without any type of remainder.


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

By Listing MultiplesBy prime Factorization MethodBy department Method

LCM that 4 and also 6 by Listing Multiples

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To calculate the LCM of 4 and also 6 through listing out the typical multiples, we deserve to follow the given listed below steps:

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

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

LCM the 4 and 6 by element Factorization

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

LCM that 4 and 6 by division Method

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

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

The LCM of 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.

☛ additionally Check:


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FAQs top top LCM the 4 and 6

What is the LCM the 4 and also 6?

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

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

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

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

The complying with equation have the right to be supplied 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 6?

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

What are the approaches to uncover LCM of 4 and also 6?

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