LCM the 5 and 9 is the the smallest number amongst all usual multiples the 5 and also 9. The first few multiples of 5 and also 9 space (5, 10, 15, 20, 25, 30, . . . ) and (9, 18, 27, 36, 45, 54, 63, . . . ) respectively. There space 3 commonly used techniques to uncover LCM of 5 and also 9 - by division method, by listing multiples, and by element factorization.

You are watching: What is the least common multiple of 5 and 9

1.LCM of 5 and also 9
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 5 and also 9 is 45.

*

Explanation:

The LCM of two non-zero integers, x(5) and y(9), is the smallest positive integer m(45) that is divisible by both x(5) and y(9) without any kind of remainder.


Let's look at the various methods because that finding the LCM the 5 and also 9.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM that 5 and also 9 by element Factorization

Prime administer of 5 and 9 is (5) = 51 and (3 × 3) = 32 respectively. LCM the 5 and 9 deserve to be acquired by multiply prime factors raised to their respective highest possible power, i.e. 32 × 51 = 45.Hence, the LCM of 5 and also 9 by prime factorization is 45.

LCM the 5 and also 9 by department Method

*

To calculate the LCM that 5 and also 9 by the department method, we will certainly divide the numbers(5, 9) by their prime determinants (preferably common). The product of this divisors offers the LCM that 5 and 9.

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

The LCM that 5 and 9 is the product of all prime numbers on the left, i.e. LCM(5, 9) by department method = 3 × 3 × 5 = 45.

LCM the 5 and also 9 by Listing Multiples

*

To calculation the LCM of 5 and also 9 by listing out the common multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples that 5 (5, 10, 15, 20, 25, 30, . . . ) and also 9 (9, 18, 27, 36, 45, 54, 63, . . . . )Step 2: The typical multiples from the multiples that 5 and also 9 room 45, 90, . . .Step 3: The smallest typical multiple the 5 and also 9 is 45.

∴ The least usual multiple the 5 and 9 = 45.

☛ also Check:


*


FAQs ~ above LCM that 5 and also 9

What is the LCM that 5 and also 9?

The LCM that 5 and 9 is 45. To find the least typical multiple of 5 and 9, we need to discover the multiples the 5 and 9 (multiples that 5 = 5, 10, 15, 20 . . . . 45; multiples the 9 = 9, 18, 27, 36 . . . . 45) and choose the the smallest multiple the is specifically divisible by 5 and also 9, i.e., 45.

What is the least Perfect Square Divisible through 5 and also 9?

The the very least number divisible by 5 and 9 = LCM(5, 9)LCM that 5 and also 9 = 3 × 3 × 5 ⇒ the very least perfect square divisible by each 5 and 9 = LCM(5, 9) × 5 = 225 Therefore, 225 is the forced number.

How to discover the LCM of 5 and 9 by prime Factorization?

To discover the LCM the 5 and 9 using prime factorization, we will discover the prime factors, (5 = 5) and (9 = 3 × 3). LCM that 5 and also 9 is the product of prime factors raised to their respective greatest exponent among the number 5 and 9.⇒ LCM that 5, 9 = 32 × 51 = 45.

What are the methods to uncover LCM of 5 and also 9?

The frequently used approaches to uncover the LCM that 5 and 9 are:

Prime administrate MethodDivision MethodListing Multiples

If the LCM of 9 and also 5 is 45, uncover its GCF.

See more: Which Of The Following Statements Regarding The Cell Cycle Control System Is False

LCM(9, 5) × GCF(9, 5) = 9 × 5Since the LCM the 9 and 5 = 45⇒ 45 × GCF(9, 5) = 45Therefore, the GCF = 45/45 = 1.