LCM that 12 and 18 is the smallest number amongst all typical multiples of 12 and also 18. The first couple of multiples the 12 and 18 space (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively. There room 3 typically used methods to find LCM the 12 and 18 - through listing multiples, by prime 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 two non-zero integers, x(12) and also y(18), is the smallest positive integer m(36) the is divisible by both x(12) and y(18) without any remainder.


Let's look in ~ the different methods for finding the LCM of 12 and 18.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM the 12 and 18 by division Method

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To calculate the LCM that 12 and 18 through the division method, we will certainly divide the numbers(12, 18) by your prime factors (preferably common). The product of this divisors gives the LCM that 12 and also 18.

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

The LCM that 12 and 18 is the product of every prime numbers on the left, i.e. LCM(12, 18) by department method = 2 × 2 × 3 × 3 = 36.

LCM the 12 and 18 by element Factorization

Prime administer of 12 and also 18 is (2 × 2 × 3) = 22 × 31 and also (2 × 3 × 3) = 21 × 32 respectively. LCM of 12 and also 18 have the right to be derived by multiply prime factors raised to their respective highest power, i.e. 22 × 32 = 36.Hence, the LCM the 12 and 18 by prime factorization is 36.

LCM the 12 and 18 by Listing Multiples

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To calculate the LCM that 12 and 18 by listing the end the usual multiples, we can follow the given listed below steps:

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

∴ The least typical multiple of 12 and also 18 = 36.

☛ additionally Check:


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FAQs on LCM the 12 and also 18

What is the LCM of 12 and 18?

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

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

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

If the LCM of 18 and also 12 is 36, find its GCF.

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

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

To uncover the LCM the 12 and also 18 making use of prime factorization, us will discover the element factors, (12 = 2 × 2 × 3) and also (18 = 2 × 3 × 3). LCM the 12 and 18 is the product of prime factors raised to their respective highest possible exponent among the numbers 12 and 18.⇒ LCM of 12, 18 = 22 × 32 = 36.

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

The worth of LCM of 12, 18 is the smallest usual multiple the 12 and 18. The number satisfying the given problem is 36.