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

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

Answer: LCM that 9 and 18 is 18.

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Explanation:

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


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

By element Factorization MethodBy Listing MultiplesBy department Method

LCM the 9 and also 18 by prime Factorization

Prime factorization of 9 and also 18 is (3 × 3) = 32 and (2 × 3 × 3) = 21 × 32 respectively. LCM that 9 and 18 deserve to be acquired by multiply prime components raised to your respective highest power, i.e. 21 × 32 = 18.Hence, the LCM the 9 and 18 by element factorization is 18.

LCM the 9 and 18 by Listing Multiples

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To calculate the LCM the 9 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 the 9 (9, 18, 27, 36, . . . ) and also 18 (18, 36, 54, 72, 90, 108, 126, . . . . )Step 2: The common multiples indigenous the multiples of 9 and also 18 space 18, 36, . . .Step 3: The smallest typical multiple of 9 and also 18 is 18.

∴ The least common multiple of 9 and 18 = 18.

LCM that 9 and 18 by division Method

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To calculation the LCM of 9 and also 18 by the division method, we will divide the numbers(9, 18) by your prime components (preferably common). The product of these divisors offers the LCM of 9 and also 18.

Step 3: proceed the measures until only 1s are left in the critical row.

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

☛ also Check:


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FAQs ~ above LCM of 9 and also 18

What is the LCM of 9 and 18?

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

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

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

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

LCM(18, 9) × GCF(18, 9) = 18 × 9Since the LCM the 18 and also 9 = 18⇒ 18 × GCF(18, 9) = 162Therefore, the greatest usual 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 of 9 and 18 = 2 × 3 × 3 ⇒ 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 uncover LCM that 9 and also 18?

The generally used techniques to find the LCM that 9 and 18 are: