LCM of 4 and also 9 is the smallest number among all usual multiples the 4 and also 9. The first couple of multiples the 4 and also 9 are (4, 8, 12, 16, 20, 24, 28, . . . ) and also (9, 18, 27, 36, . . . ) respectively. There space 3 generally used methods to uncover LCM that 4 and 9 - by element factorization, through listing multiples, and by division method.

You are watching: Least common multiple of 4 and 9

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

Answer: LCM that 4 and also 9 is 36.

*

Explanation:

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


The approaches to uncover the LCM the 4 and 9 are described below.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM that 4 and 9 by Listing Multiples

*

To calculation the LCM that 4 and also 9 by listing out the common multiples, we can follow the given below steps:

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

∴ The least common multiple that 4 and also 9 = 36.

LCM the 4 and also 9 by element Factorization

Prime administrate of 4 and 9 is (2 × 2) = 22 and also (3 × 3) = 32 respectively. LCM that 4 and 9 deserve to be derived 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 department Method

*

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

Step 3: continue the steps until just 1s are left in the last row.

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

☛ additionally Check:


*


FAQs ~ above LCM of 4 and also 9

What is the LCM of 4 and 9?

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

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

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

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

The complying with equation deserve to be supplied to refer the relation between GCF and LCM the 4 and 9, i.e. GCF × LCM = 4 × 9.

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

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

See more: Then Why Earth Is Called Blue Planet ? Why Is Earth Called A Blue Planet

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

The least number divisible by 4 and 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 compelled number.