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

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1.LCM the 4 and also 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 also y(9), is the smallest optimistic integer m(36) the is divisible by both x(4) and also y(9) without any type of remainder.


The methods to find the LCM that 4 and also 9 are described below.

By Listing MultiplesBy prime Factorization MethodBy division Method

LCM that 4 and 9 by Listing Multiples

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To calculate the LCM of 4 and also 9 by listing out the usual multiples, we have the right to follow the given listed below steps:

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

∴ The least usual multiple of 4 and also 9 = 36.

LCM of 4 and also 9 by prime Factorization

Prime factorization of 4 and also 9 is (2 × 2) = 22 and also (3 × 3) = 32 respectively. LCM the 4 and 9 can be obtained by multiply prime determinants raised to their respective highest power, i.e. 22 × 32 = 36.Hence, the LCM the 4 and 9 by prime factorization is 36.

LCM the 4 and also 9 by department Method

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To calculate the LCM that 4 and also 9 by the department method, we will divide the numbers(4, 9) by your prime determinants (preferably common). The product of this divisors gives the LCM of 4 and also 9.

Step 3: continue the actions until just 1s room left in the critical row.

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

☛ also Check:


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FAQs ~ above LCM of 4 and 9

What is the LCM of 4 and 9?

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

How to discover the LCM the 4 and also 9 by element Factorization?

To discover the LCM that 4 and 9 using prime factorization, us will find the prime factors, (4 = 2 × 2) and (9 = 3 × 3). LCM of 4 and also 9 is the product of prime determinants raised to their respective highest exponent among the number 4 and 9.⇒ LCM of 4, 9 = 22 × 32 = 36.

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

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

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

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

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

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