LCM the 9 and also 12 is the smallest number among all typical multiples the 9 and also 12. The first few multiples of 9 and also 12 room (9, 18, 27, 36, 45, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 commonly used methods to find LCM the 9 and also 12 - by department method, through listing multiples, and by prime factorization.

You are watching: What is the least common multiple of 9 and 12

1.LCM that 9 and 12
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 9 and 12 is 36.

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Explanation:

The LCM of two non-zero integers, x(9) and also y(12), is the smallest confident integer m(36) the is divisible by both x(9) and also y(12) without any type of remainder.


The techniques to uncover the LCM that 9 and also 12 are described below.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM that 9 and 12 by Listing Multiples

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To calculate the LCM the 9 and also 12 by listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples the 9 (9, 18, 27, 36, 45, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )Step 2: The usual multiples indigenous the multiples the 9 and 12 room 36, 72, . . .Step 3: The smallest usual multiple that 9 and 12 is 36.

∴ The least usual multiple of 9 and 12 = 36.

LCM of 9 and also 12 by division Method

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To calculation the LCM that 9 and 12 by the division method, we will divide the numbers(9, 12) by your prime components (preferably common). The product of this divisors offers the LCM of 9 and also 12.

Step 3: continue the measures until only 1s space left in the critical row.

The LCM the 9 and 12 is the product of every prime number on the left, i.e. LCM(9, 12) by division method = 2 × 2 × 3 × 3 = 36.

LCM of 9 and also 12 by element Factorization

Prime administrate of 9 and also 12 is (3 × 3) = 32 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 9 and 12 deserve to be derived by multiplying prime components raised to your respective highest power, i.e. 22 × 32 = 36.Hence, the LCM the 9 and also 12 by element factorization is 36.

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FAQs top top LCM the 9 and also 12

What is the LCM that 9 and 12?

The LCM the 9 and 12 is 36. To discover the least usual multiple of 9 and 12, we need to uncover the multiples of 9 and 12 (multiples the 9 = 9, 18, 27, 36; multiples that 12 = 12, 24, 36, 48) and also choose the the smallest multiple the is exactly divisible by 9 and also 12, i.e., 36.

What is the Relation between GCF and also LCM the 9, 12?

The adhering to equation deserve to be offered to refer the relation in between GCF and LCM the 9 and 12, i.e. GCF × LCM = 9 × 12.

Which of the complying with is the LCM the 9 and 12? 50, 15, 45, 36

The value of LCM the 9, 12 is the smallest usual multiple the 9 and 12. The number solve the given condition is 36.

If the LCM of 12 and 9 is 36, uncover its GCF.

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LCM(12, 9) × GCF(12, 9) = 12 × 9Since the LCM the 12 and 9 = 36⇒ 36 × GCF(12, 9) = 108Therefore, the GCF = 108/36 = 3.

What are the techniques to uncover LCM the 9 and 12?

The commonly used approaches to uncover the LCM that 9 and also 12 are: