LCM the 9 and also 18 is the smallest number among all typical multiples of 9 and 18. The first couple of multiples the 9 and also 18 room (9, 18, 27, 36, . . . ) and (18, 36, 54, 72, 90, 108, 126, . . . ) respectively. There room 3 generally used approaches to uncover LCM the 9 and 18 - through listing multiples, by division method, and by prime factorization.

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1.LCM that 9 and 18
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 9 and also 18 is 18.

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Explanation:

The LCM of 2 non-zero integers, x(9) and also y(18), is the smallest positive integer m(18) the is divisible by both x(9) and also y(18) without any kind of remainder.


Let's look in ~ the different methods because that finding the LCM the 9 and 18.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM that 9 and 18 by element Factorization

Prime administer of 9 and 18 is (3 × 3) = 32 and also (2 × 3 × 3) = 21 × 32 respectively. LCM that 9 and 18 deserve to be obtained by multiply prime determinants raised to their respective highest possible power, i.e. 21 × 32 = 18.Hence, the LCM the 9 and 18 by prime factorization is 18.

LCM that 9 and 18 by Listing Multiples

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To calculation the LCM the 9 and also 18 by listing out the usual multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples that 9 (9, 18, 27, 36, . . . ) and also 18 (18, 36, 54, 72, 90, 108, 126, . . . . )Step 2: The usual multiples indigenous the multiples that 9 and also 18 are 18, 36, . . .Step 3: The smallest usual multiple of 9 and also 18 is 18.

∴ The least usual multiple the 9 and also 18 = 18.

LCM of 9 and also 18 by department Method

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To calculate the LCM of 9 and 18 through the department method, we will divide the numbers(9, 18) by their prime determinants (preferably common). The product of this divisors offers the LCM the 9 and 18.

Step 3: proceed the measures until just 1s room left in the last row.

The LCM of 9 and 18 is the product of every prime numbers on the left, i.e. LCM(9, 18) by division method = 2 × 3 × 3 = 18.

☛ likewise Check:


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FAQs ~ above LCM of 9 and also 18

What is the LCM of 9 and also 18?

The LCM the 9 and also 18 is 18. To discover the LCM of 9 and 18, we need to uncover the multiples of 9 and 18 (multiples the 9 = 9, 18, 27, 36; multiples of 18 = 18, 36, 54, 72) and also choose the the smallest multiple that is exactly divisible by 9 and 18, i.e., 18.

How to uncover the LCM that 9 and also 18 by element Factorization?

To find the LCM the 9 and also 18 utilizing prime factorization, us will find the prime factors, (9 = 3 × 3) and (18 = 2 × 3 × 3). LCM that 9 and also 18 is the product the prime factors raised to their respective highest possible exponent amongst the numbers 9 and 18.⇒ LCM the 9, 18 = 21 × 32 = 18.

If the LCM that 18 and also 9 is 18, find its GCF.

LCM(18, 9) × GCF(18, 9) = 18 × 9Since the LCM that 18 and 9 = 18⇒ 18 × GCF(18, 9) = 162Therefore, the greatest usual factor (GCF) = 162/18 = 9.

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What is the least Perfect Square Divisible through 9 and also 18?

The least number divisible by 9 and also 18 = LCM(9, 18)LCM the 9 and also 18 = 2 × 3 × 3 ⇒ the very least perfect square divisible by each 9 and also 18 = LCM(9, 18) × 2 = 36 Therefore, 36 is the forced number.

What room the methods to discover LCM of 9 and 18?

The generally used techniques to discover the LCM the 9 and also 18 are: