LCM the 2 and also 6 is the the smallest number amongst all usual multiples that 2 and also 6. The first couple of multiples that 2 and also 6 space (2, 4, 6, 8, . . . ) and also (6, 12, 18, 24, 30, 36, 42, . . . ) respectively. There are 3 frequently used techniques to discover LCM that 2 and 6 - by listing multiples, by division method, and also by prime factorization.

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

Answer: LCM that 2 and 6 is 6.

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Explanation:

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


The approaches to find the LCM of 2 and 6 are defined below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM the 2 and also 6 by Listing Multiples

To calculation the LCM the 2 and 6 by listing the end the usual multiples, we can follow the given listed below steps:

Step 1: list a couple of multiples that 2 (2, 4, 6, 8, . . . ) and 6 (6, 12, 18, 24, 30, 36, 42, . . . . )Step 2: The common multiples indigenous the multiples that 2 and 6 room 6, 12, . . .Step 3: The smallest common multiple that 2 and also 6 is 6.

∴ The least typical multiple that 2 and also 6 = 6.

LCM that 2 and 6 by division Method

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To calculate the LCM the 2 and 6 through the department method, we will divide the numbers(2, 6) by their prime factors (preferably common). The product of this divisors offers the LCM the 2 and 6.

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

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

LCM the 2 and 6 by prime Factorization

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

☛ additionally Check:


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FAQs top top LCM that 2 and also 6

What is the LCM the 2 and also 6?

The LCM that 2 and also 6 is 6. To find the least common multiple the 2 and 6, we require to find the multiples of 2 and 6 (multiples of 2 = 2, 4, 6, 8; multiples the 6 = 6, 12, 18, 24) and also choose the smallest multiple that is specifically divisible by 2 and 6, i.e., 6.

If the LCM that 6 and also 2 is 6, find its GCF.

LCM(6, 2) × GCF(6, 2) = 6 × 2Since the LCM of 6 and also 2 = 6⇒ 6 × GCF(6, 2) = 12Therefore, the greatest common factor (GCF) = 12/6 = 2.

How to uncover the LCM that 2 and also 6 by prime Factorization?

To uncover the LCM that 2 and also 6 utilizing prime factorization, we will uncover the prime factors, (2 = 2) and also (6 = 2 × 3). LCM that 2 and 6 is the product of prime determinants raised to your respective greatest exponent among the number 2 and 6.⇒ LCM that 2, 6 = 21 × 31 = 6.

What is the Relation between GCF and LCM that 2, 6?

The adhering to equation can be provided to refer the relation between GCF and LCM of 2 and also 6, i.e. GCF × LCM = 2 × 6.

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What is the least Perfect Square Divisible through 2 and also 6?

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