LCM of 4 and also 9 is the the smallest number amongst all typical multiples that 4 and 9. The first couple of multiples of 4 and also 9 space (4, 8, 12, 16, 20, 24, 28, . . . ) and also (9, 18, 27, 36, . . . ) respectively. There space 3 typically used methods to uncover LCM that 4 and 9 - by prime factorization, by listing multiples, and by department method.

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

Answer: LCM that 4 and 9 is 36.

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Explanation:

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


The techniques to find the LCM of 4 and also 9 are described below.

By Listing MultiplesBy prime Factorization MethodBy division Method

LCM that 4 and also 9 by Listing Multiples

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To calculate the LCM that 4 and 9 by listing out the typical multiples, we deserve to follow the given listed below steps:

Step 1: perform 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 usual multiple that 4 and also 9 is 36.

∴ The least typical multiple the 4 and also 9 = 36.

LCM the 4 and 9 by prime Factorization

Prime administer of 4 and also 9 is (2 × 2) = 22 and also (3 × 3) = 32 respectively. LCM that 4 and also 9 have the right to be derived by multiplying prime factors raised to their respective highest power, i.e. 22 × 32 = 36.Hence, the LCM the 4 and 9 by element factorization is 36.

LCM the 4 and 9 by division Method

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To calculation the LCM that 4 and also 9 by the department method, we will divide the numbers(4, 9) by their prime determinants (preferably common). The product of these divisors offers the LCM of 4 and 9.

Step 3: continue the procedures until just 1s space left in the last row.

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

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FAQs top top LCM the 4 and also 9

What is the LCM the 4 and also 9?

The LCM that 4 and 9 is 36. To uncover the least typical multiple (LCM) that 4 and 9, we need to discover the multiples of 4 and also 9 (multiples of 4 = 4, 8, 12, 16 . . . . 36; multiples that 9 = 9, 18, 27, 36) and also choose the the smallest multiple the is precisely divisible through 4 and also 9, i.e., 36.

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

To discover the LCM the 4 and 9 making use of prime factorization, we will find the prime factors, (4 = 2 × 2) and also (9 = 3 × 3). LCM of 4 and 9 is the product of prime factors raised to your respective highest exponent among the number 4 and 9.⇒ LCM of 4, 9 = 22 × 32 = 36.

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

The complying with equation can be provided to to express the relation in between GCF and LCM of 4 and also 9, i.e. GCF × LCM = 4 × 9.

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

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

See more: Arctan(-Sqrt(3)) - Evaluate Arctan(( Square Root Of 3)/3)

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

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