LCM of 12 and 18 is the smallest number among all common multiples the 12 and 18. The first few multiples the 12 and also 18 room (12, 24, 36, 48, 60, 72, 84, . . . ) and also (18, 36, 54, 72, . . . ) respectively. There space 3 commonly used approaches to find LCM that 12 and also 18 - by listing multiples, by element factorization, and also by department method.

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1.LCM that 12 and 18
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 12 and also 18 is 36.

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Explanation:

The LCM of 2 non-zero integers, x(12) and y(18), is the smallest optimistic integer m(36) that is divisible by both x(12) and y(18) without any remainder.


Let's look at the different methods for finding the LCM the 12 and also 18.

By division MethodBy prime Factorization MethodBy Listing Multiples

LCM of 12 and 18 by department Method

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To calculation the LCM that 12 and 18 through the department method, we will divide the numbers(12, 18) by your prime components (preferably common). The product of these divisors gives the LCM that 12 and 18.

Step 3: proceed the steps until just 1s are left in the last row.

The LCM the 12 and 18 is the product of all prime number on the left, i.e. LCM(12, 18) by division method = 2 × 2 × 3 × 3 = 36.

LCM that 12 and also 18 by prime Factorization

Prime factorization of 12 and 18 is (2 × 2 × 3) = 22 × 31 and also (2 × 3 × 3) = 21 × 32 respectively. LCM the 12 and 18 have the right to be acquired by multiplying prime determinants raised to your respective greatest power, i.e. 22 × 32 = 36.Hence, the LCM the 12 and 18 by element factorization is 36.

LCM of 12 and 18 by Listing Multiples

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To calculate the LCM that 12 and also 18 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples of 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and 18 (18, 36, 54, 72, . . . . )Step 2: The usual multiples from the multiples the 12 and 18 room 36, 72, . . .Step 3: The smallest typical multiple of 12 and 18 is 36.

∴ The least usual multiple of 12 and 18 = 36.

☛ also Check:


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FAQs top top LCM of 12 and 18

What is the LCM of 12 and 18?

The LCM the 12 and 18 is 36. To find the LCM (least common multiple) of 12 and 18, we need to uncover the multiples the 12 and 18 (multiples that 12 = 12, 24, 36, 48; multiples the 18 = 18, 36, 54, 72) and choose the the smallest multiple the is exactly divisible by 12 and 18, i.e., 36.

What is the the very least Perfect Square Divisible by 12 and 18?

The least number divisible by 12 and also 18 = LCM(12, 18)LCM the 12 and 18 = 2 × 2 × 3 × 3 ⇒ least perfect square divisible by every 12 and 18 = 36 Therefore, 36 is the forced number.

If the LCM that 18 and 12 is 36, discover its GCF.

LCM(18, 12) × GCF(18, 12) = 18 × 12Since the LCM that 18 and also 12 = 36⇒ 36 × GCF(18, 12) = 216Therefore, the greatest usual factor (GCF) = 216/36 = 6.

How to uncover the LCM the 12 and 18 by prime Factorization?

To uncover the LCM the 12 and also 18 using prime factorization, we will find the prime factors, (12 = 2 × 2 × 3) and also (18 = 2 × 3 × 3). LCM of 12 and 18 is the product of prime determinants raised to your respective greatest exponent among the numbers 12 and also 18.⇒ LCM the 12, 18 = 22 × 32 = 36.

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Which that the complying with is the LCM the 12 and also 18? 36, 10, 12, 2

The worth of LCM that 12, 18 is the smallest typical multiple the 12 and also 18. The number solve the given condition is 36.