LCM of 4 and also 9 is the smallest number amongst all usual multiples of 4 and 9. The first few multiples of 4 and 9 room (4, 8, 12, 16, 20, 24, 28, . . . ) and (9, 18, 27, 36, . . . ) respectively. There space 3 commonly used approaches to find LCM the 4 and 9 - by prime factorization, by listing multiples, and also by division method.

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

Answer: LCM the 4 and also 9 is 36.

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Explanation:

The LCM of two non-zero integers, x(4) and also y(9), is the smallest hopeful integer m(36) that is divisible through both x(4) and y(9) without any kind of remainder.


The approaches to find the LCM the 4 and 9 are explained below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM of 4 and 9 by Listing Multiples

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To calculate the LCM that 4 and also 9 through listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: list a few multiples the 4 (4, 8, 12, 16, 20, 24, 28, . . . ) and 9 (9, 18, 27, 36, . . . . )Step 2: The common multiples from the multiples that 4 and 9 are 36, 72, . . .Step 3: The smallest typical multiple of 4 and 9 is 36.

∴ The least usual multiple that 4 and 9 = 36.

LCM the 4 and 9 by element Factorization

Prime administrate of 4 and also 9 is (2 × 2) = 22 and also (3 × 3) = 32 respectively. LCM the 4 and also 9 deserve to be acquired by multiplying prime factors raised to their respective highest possible power, i.e. 22 × 32 = 36.Hence, the LCM the 4 and 9 by prime factorization is 36.

LCM that 4 and 9 by division Method

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To calculation the LCM the 4 and 9 through the division method, we will certainly divide the numbers(4, 9) by your prime components (preferably common). The product of these divisors gives the LCM the 4 and also 9.

Step 3: continue the actions until only 1s are left in the critical row.

The LCM of 4 and 9 is the product of all prime numbers on the left, i.e. LCM(4, 9) by department method = 2 × 2 × 3 × 3 = 36.

☛ additionally Check:


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FAQs on LCM the 4 and also 9

What is the LCM of 4 and 9?

The LCM that 4 and also 9 is 36. To discover the least common multiple (LCM) the 4 and also 9, we need to find the multiples the 4 and also 9 (multiples that 4 = 4, 8, 12, 16 . . . . 36; multiples the 9 = 9, 18, 27, 36) and also choose the smallest multiple that is exactly divisible by 4 and also 9, i.e., 36.

How to find the LCM that 4 and also 9 by prime Factorization?

To find the LCM of 4 and 9 making use of prime factorization, us will uncover the element factors, (4 = 2 × 2) and (9 = 3 × 3). LCM of 4 and 9 is the product of prime determinants raised to your respective greatest exponent amongst the numbers 4 and 9.⇒ LCM the 4, 9 = 22 × 32 = 36.

What is the Relation in between GCF and LCM of 4, 9?

The adhering to equation deserve to be offered to to express the relation between GCF and also LCM that 4 and 9, i.e. GCF × LCM = 4 × 9.

If the LCM that 9 and 4 is 36, discover its GCF.

LCM(9, 4) × GCF(9, 4) = 9 × 4Since the LCM of 9 and 4 = 36⇒ 36 × GCF(9, 4) = 36Therefore, the greatest usual factor (GCF) = 36/36 = 1.

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What is the the very least Perfect Square Divisible through 4 and 9?

The least number divisible by 4 and 9 = LCM(4, 9)LCM of 4 and also 9 = 2 × 2 × 3 × 3 ⇒ least perfect square divisible by each 4 and also 9 = 36 Therefore, 36 is the compelled number.