LCM the 9 and also 12 is the the smallest number amongst all typical multiples the 9 and also 12. The first few multiples the 9 and also 12 space (9, 18, 27, 36, 45, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 commonly used techniques to uncover LCM that 9 and 12 - by division method, by listing multiples, and also by prime factorization.

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

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

Answer: LCM of 9 and 12 is 36.

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Explanation:

The LCM of 2 non-zero integers, x(9) and also y(12), is the smallest positive integer m(36) the is divisible through both x(9) and y(12) without any type of remainder.


The approaches to uncover the LCM the 9 and 12 are defined below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM of 9 and 12 by Listing Multiples

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To calculation the LCM of 9 and 12 by listing the end the typical multiples, we can follow the given listed below steps:

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

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

LCM the 9 and also 12 by department Method

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To calculation the LCM that 9 and also 12 by the division method, we will divide the numbers(9, 12) by their prime factors (preferably common). The product of these divisors provides the LCM that 9 and also 12.

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

The LCM of 9 and also 12 is the product of all prime numbers on the left, i.e. LCM(9, 12) by department method = 2 × 2 × 3 × 3 = 36.

LCM that 9 and 12 by element Factorization

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

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FAQs on LCM the 9 and 12

What is the LCM of 9 and 12?

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

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

The complying with equation can be offered to express the relation between GCF and also LCM that 9 and 12, i.e. GCF × LCM = 9 × 12.

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

The worth of LCM the 9, 12 is the smallest usual multiple that 9 and also 12. The number to solve the given condition is 36.

If the LCM that 12 and also 9 is 36, discover its GCF.

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

What space the approaches to uncover LCM of 9 and 12?

The typically used approaches to discover the LCM that 9 and also 12 are: