LCM of 9 and 15 is the the smallest number amongst all typical multiples that 9 and also 15. The first few multiples the 9 and 15 space (9, 18, 27, 36, 45, . . . ) and also (15, 30, 45, 60, 75, 90, . . . ) respectively. There space 3 frequently used methods to uncover LCM of 9 and 15 - by prime factorization, by department method, and also by listing multiples.

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 1 LCM that 9 and 15 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 9 and also 15 is 45.

Explanation:

The LCM of 2 non-zero integers, x(9) and y(15), is the smallest hopeful integer m(45) that is divisible through both x(9) and y(15) without any kind of remainder.

Let's look at the various methods for finding the LCM that 9 and 15.

By department MethodBy prime Factorization MethodBy Listing Multiples

### LCM the 9 and 15 by department Method

To calculation the LCM of 9 and also 15 through the department method, we will certainly divide the numbers(9, 15) by their prime determinants (preferably common). The product of these divisors gives the LCM of 9 and also 15.

Step 3: proceed the steps until just 1s are left in the last row.

The LCM of 9 and also 15 is the product of every prime numbers on the left, i.e. LCM(9, 15) by division method = 3 × 3 × 5 = 45.

### LCM that 9 and 15 by element Factorization

Prime factorization of 9 and also 15 is (3 × 3) = 32 and (3 × 5) = 31 × 51 respectively. LCM that 9 and also 15 have the right to be derived by multiplying prime determinants raised to your respective highest possible power, i.e. 32 × 51 = 45.Hence, the LCM the 9 and also 15 by prime factorization is 45.

### LCM of 9 and also 15 by Listing Multiples

To calculate the LCM the 9 and 15 by listing the end the typical multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples that 9 (9, 18, 27, 36, 45, . . . ) and also 15 (15, 30, 45, 60, 75, 90, . . . . )Step 2: The usual multiples native the multiples of 9 and also 15 are 45, 90, . . .Step 3: The smallest usual multiple that 9 and also 15 is 45.

∴ The least usual multiple the 9 and also 15 = 45.

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## FAQs top top LCM the 9 and 15

### What is the LCM that 9 and also 15?

The LCM the 9 and 15 is 45. To find the LCM of 9 and 15, we need to uncover the multiples of 9 and also 15 (multiples that 9 = 9, 18, 27, 36 . . . . 45; multiples that 15 = 15, 30, 45, 60) and choose the the smallest multiple the is exactly divisible through 9 and also 15, i.e., 45.

### What is the Relation in between GCF and LCM the 9, 15?

The following equation can be provided to refer the relation between GCF and also LCM that 9 and also 15, i.e. GCF × LCM = 9 × 15.

### Which of the following is the LCM that 9 and 15? 21, 45, 18, 30

The value of LCM that 9, 15 is the smallest typical multiple the 9 and 15. The number solve the given condition is 45.

### If the LCM the 15 and also 9 is 45, find its GCF.

LCM(15, 9) × GCF(15, 9) = 15 × 9Since the LCM that 15 and 9 = 45⇒ 45 × GCF(15, 9) = 135Therefore, the GCF = 135/45 = 3.

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### What is the least Perfect Square Divisible by 9 and 15?

The the very least number divisible by 9 and also 15 = LCM(9, 15)LCM the 9 and 15 = 3 × 3 × 5 ⇒ the very least perfect square divisible by each 9 and also 15 = LCM(9, 15) × 5 = 225 Therefore, 225 is the forced number.