LCM of 9 and also 11 is the smallest number among all common multiples the 9 and 11. The first few multiples the 9 and 11 room (9, 18, 27, 36, 45, 54, . . . ) and also (11, 22, 33, 44, 55, . . . ) respectively. There are 3 frequently used approaches to uncover LCM of 9 and also 11 - by prime factorization, by department method, and by listing multiples.

You are watching: Least common denominator of 9 and 11

 1 LCM that 9 and 11 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM that 9 and 11 is 99.

Explanation:

The LCM of two non-zero integers, x(9) and also y(11), is the smallest confident integer m(99) the is divisible through both x(9) and y(11) without any type of remainder.

The methods to discover the LCM of 9 and 11 are defined below.

By division MethodBy element Factorization MethodBy Listing Multiples

### LCM the 9 and 11 by department Method

To calculate the LCM that 9 and also 11 by the department method, we will divide the numbers(9, 11) by your prime determinants (preferably common). The product of these divisors provides the LCM the 9 and 11.

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

The LCM the 9 and also 11 is the product of all prime numbers on the left, i.e. LCM(9, 11) by department method = 3 × 3 × 11 = 99.

### LCM of 9 and also 11 by element Factorization

Prime administrate of 9 and 11 is (3 × 3) = 32 and also (11) = 111 respectively. LCM of 9 and 11 have the right to be acquired by multiplying prime determinants raised to their respective highest power, i.e. 32 × 111 = 99.Hence, the LCM the 9 and also 11 by prime factorization is 99.

### LCM that 9 and also 11 through Listing Multiples

To calculation the LCM the 9 and 11 through listing the end the common multiples, we deserve to follow the given below steps:

Step 1: list a couple of multiples the 9 (9, 18, 27, 36, 45, 54, . . . ) and 11 (11, 22, 33, 44, 55, . . . . )Step 2: The common multiples native the multiples of 9 and also 11 are 99, 198, . . .Step 3: The smallest typical multiple the 9 and also 11 is 99.

∴ The least typical multiple of 9 and also 11 = 99.

## FAQs on LCM the 9 and also 11

### What is the LCM that 9 and 11?

The LCM of 9 and also 11 is 99. To uncover the least common multiple the 9 and also 11, we require to find the multiples that 9 and 11 (multiples of 9 = 9, 18, 27, 36 . . . . 99; multiples the 11 = 11, 22, 33, 44 . . . . 99) and also choose the the smallest multiple the is precisely divisible by 9 and 11, i.e., 99.

### Which of the complying with is the LCM of 9 and 11? 99, 5, 18, 20

The worth of LCM that 9, 11 is the smallest usual multiple that 9 and also 11. The number satisfying the given condition is 99.

### If the LCM of 11 and also 9 is 99, uncover its GCF.

LCM(11, 9) × GCF(11, 9) = 11 × 9Since the LCM of 11 and 9 = 99⇒ 99 × GCF(11, 9) = 99Therefore, the GCF = 99/99 = 1.

See more: What Is The Circumference Of A Baseball (Ball), (You'D Be Surprised)

### What are the approaches to discover LCM of 9 and also 11?

The frequently used approaches to discover the LCM that 9 and also 11 are: