LCM of 9 and 18 is the smallest number among all common multiples the 9 and also 18. The first few multiples the 9 and also 18 room (9, 18, 27, 36, . . . ) and (18, 36, 54, 72, 90, 108, 126, . . . ) respectively. There room 3 commonly used techniques to uncover LCM that 9 and 18 - through listing multiples, by department method, and by element factorization.

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

Answer: LCM the 9 and 18 is 18.

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Explanation:

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


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

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 9 and 18 by prime Factorization

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

LCM of 9 and also 18 through Listing Multiples

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

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

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

LCM the 9 and also 18 by department Method

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To calculation the LCM that 9 and 18 by the department method, we will divide the numbers(9, 18) by your prime factors (preferably common). The product of these divisors provides the LCM that 9 and also 18.

Step 3: continue the steps until only 1s are left in the critical row.

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

☛ additionally Check:


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FAQs on LCM of 9 and also 18

What is the LCM of 9 and 18?

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

How to discover the LCM of 9 and also 18 by element Factorization?

To uncover the LCM that 9 and 18 using prime factorization, us will discover the prime factors, (9 = 3 × 3) and also (18 = 2 × 3 × 3). LCM of 9 and also 18 is the product that prime components raised to your respective highest exponent amongst the number 9 and 18.⇒ LCM that 9, 18 = 21 × 32 = 18.

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

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

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

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

What are the techniques to find LCM that 9 and also 18?

The typically used methods to find the LCM that 9 and also 18 are: