LCM the 2 and 12 is the smallest number among all typical multiples of 2 and also 12. The first few multiples that 2 and also 12 room (2, 4, 6, 8, 10, . . . ) and (12, 24, 36, 48, 60, 72, 84, . . . ) respectively. There room 3 commonly used techniques to uncover LCM that 2 and 12 - by division method, by listing multiples, and also by prime factorization.

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1.LCM that 2 and 12
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 2 and also 12 is 12.

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Explanation:

The LCM of two non-zero integers, x(2) and y(12), is the smallest hopeful integer m(12) the is divisible through both x(2) and y(12) without any remainder.


Let's look at the different methods for finding the LCM the 2 and 12.

By Listing MultiplesBy division MethodBy prime Factorization Method

LCM that 2 and also 12 by Listing Multiples

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To calculate the LCM the 2 and also 12 by listing out the usual multiples, we deserve to follow the given listed below steps:

Step 1: perform a couple of multiples of 2 (2, 4, 6, 8, 10, . . . ) and also 12 (12, 24, 36, 48, 60, 72, 84, . . . . )Step 2: The usual multiples native the multiples of 2 and also 12 room 12, 24, . . .Step 3: The smallest typical multiple of 2 and also 12 is 12.

∴ The least common multiple of 2 and also 12 = 12.

LCM the 2 and 12 by department Method

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To calculate the LCM that 2 and also 12 by the division method, we will divide the numbers(2, 12) by their prime determinants (preferably common). The product of these divisors gives the LCM of 2 and also 12.

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

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

LCM of 2 and 12 by prime Factorization

Prime administrate of 2 and also 12 is (2) = 21 and (2 × 2 × 3) = 22 × 31 respectively. LCM that 2 and also 12 have the right to be derived by multiply prime components raised to your respective greatest power, i.e. 22 × 31 = 12.Hence, the LCM that 2 and also 12 by prime factorization is 12.

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FAQs top top LCM that 2 and 12

What is the LCM that 2 and 12?

The LCM the 2 and also 12 is 12. To uncover the LCM of 2 and 12, we require to discover the multiples that 2 and 12 (multiples of 2 = 2, 4, 6, 8 . . . . 12; multiples of 12 = 12, 24, 36, 48) and choose the smallest multiple the is specifically divisible by 2 and 12, i.e., 12.

What are the approaches to find LCM of 2 and 12?

The frequently used approaches to uncover the LCM that 2 and also 12 are:

Listing MultiplesPrime administrate MethodDivision Method

How to uncover the LCM of 2 and 12 by prime Factorization?

To find the LCM of 2 and 12 utilizing prime factorization, us will find the prime factors, (2 = 2) and also (12 = 2 × 2 × 3). LCM that 2 and also 12 is the product the prime components raised to your respective highest exponent amongst the number 2 and also 12.⇒ LCM the 2, 12 = 22 × 31 = 12.

If the LCM of 12 and also 2 is 12, discover its GCF.

LCM(12, 2) × GCF(12, 2) = 12 × 2Since the LCM the 12 and also 2 = 12⇒ 12 × GCF(12, 2) = 24Therefore, the greatest common factor (GCF) = 24/12 = 2.

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What is the least Perfect Square Divisible through 2 and 12?

The the very least number divisible by 2 and 12 = LCM(2, 12)LCM that 2 and also 12 = 2 × 2 × 3 ⇒ the very least perfect square divisible by each 2 and 12 = LCM(2, 12) × 3 = 36 Therefore, 36 is the compelled number.