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

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1.LCM the 12 and 18
2.List of 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 y(18), is the smallest confident integer m(36) that is divisible through both x(12) and also y(18) without any kind of remainder.


Let's look at the various methods because that finding the LCM that 12 and 18.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM that 12 and 18 by division Method

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

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

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

LCM of 12 and 18 by prime Factorization

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

LCM the 12 and also 18 by Listing Multiples

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To calculation the LCM the 12 and 18 by listing out the common multiples, we have the right to follow the given listed below steps:

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

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

☛ also Check:


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FAQs on LCM of 12 and 18

What is the LCM of 12 and also 18?

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

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

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

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

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

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

To find the LCM of 12 and 18 making use of prime factorization, us will discover the prime factors, (12 = 2 × 2 × 3) and also (18 = 2 × 3 × 3). LCM the 12 and 18 is the product that prime factors raised to your respective greatest exponent among the number 12 and 18.⇒ LCM the 12, 18 = 22 × 32 = 36.

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

The worth of LCM of 12, 18 is the smallest common multiple the 12 and also 18. The number satisfying the given condition is 36.