LCM of 9 and also 15 is the smallest number among all prevalent multiples of 9 and also 15. The initially few multiples of 9 and also 15 are (9, 18, 27, 36, 45, . . . ) and (15, 30, 45, 60, 75, 90, . . . ) respectively. Tbelow are 3 frequently offered approaches to find LCM of 9 and also 15 - by prime factorization, by division technique, and also by listing multiples.

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1.LCM of 9 and also 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 9 and 15 is 45.

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Explanation:

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


Let's look at the different techniques for finding the LCM of 9 and also 15.

By Division MethodBy Prime Factorization MethodBy Listing Multiples

LCM of 9 and also 15 by Division Method

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To calculate the LCM of 9 and 15 by the division method, we will divide the numbers(9, 15) by their prime determinants (preferably common). The product of these divisors offers the LCM of 9 and also 15.

Step 3: Continue the actions till just 1s are left in the last row.

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

LCM of 9 and 15 by Prime Factorization

Prime factorization of 9 and 15 is (3 × 3) = 32 and also (3 × 5) = 31 × 51 respectively. LCM of 9 and 15 can be obtained by multiplying prime factors elevated to their corresponding highest possible power, i.e. 32 × 51 = 45.Hence, the LCM of 9 and 15 by prime factorization is 45.

LCM of 9 and also 15 by Listing Multiples

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To calculate the LCM of 9 and 15 by listing out the prevalent multiples, we deserve to follow the offered listed below steps:

Tip 1: List a couple of multiples of 9 (9, 18, 27, 36, 45, . . . ) and 15 (15, 30, 45, 60, 75, 90, . . . . )Tip 2: The common multiples from the multiples of 9 and also 15 are 45, 90, . . .Tip 3: The smallest widespread multiple of 9 and 15 is 45.

∴ The leastern common multiple of 9 and also 15 = 45.

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FAQs on LCM of 9 and also 15

What is the LCM of 9 and also 15?

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

What is the Relation Between GCF and LCM of 9, 15?

The following equation deserve to be supplied to express the relation between GCF and LCM of 9 and 15, i.e. GCF × LCM = 9 × 15.

Which of the adhering to is the LCM of 9 and 15? 21, 45, 18, 30

The value of LCM of 9, 15 is the smallest prevalent multiple of 9 and also 15. The number satisfying the offered condition is 45.

If the LCM of 15 and also 9 is 45, Find its GCF.

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

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What is the Leastern Perfect Square Divisible by 9 and 15?

The leastern number divisible by 9 and 15 = LCM(9, 15)LCM of 9 and also 15 = 3 × 3 × 5 ⇒ Least perfect square divisible by each 9 and also 15 = LCM(9, 15) × 5 = 225 Because of this, 225 is the compelled number.