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

You are watching: What is the least common multiple of 4 and 9

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

Answer: LCM the 4 and also 9 is 36.

*

Explanation:

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


The methods to discover the LCM of 4 and 9 are described below.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM of 4 and 9 by Listing Multiples

*

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

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

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

LCM that 4 and 9 by prime Factorization

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

LCM that 4 and 9 by division Method

*

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

Step 3: proceed the actions until only 1s space left in the last row.

The LCM that 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.

☛ likewise Check:


*


FAQs top top LCM of 4 and also 9

What is the LCM of 4 and 9?

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

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

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

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

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

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

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

See more: How Do You Say I Love You In Philippines, I Love You In Tagalog Language

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

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