Least Common Multiple of 1089 and 1093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1089 and 1093 the smallest integer that is 1190277 that is divisible by both numbers.

Least Common Multiple (LCM) of 1089 and 1093 is 1190277.

LCM(1089,1093) = 1190277

LCM of 1089 and 1093

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1089 and 1093

LCM of 1089 and 1093 is 1190277

Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1093. First we will calculate the prime factors of 1089 and 1093.

Prime Factorization of 1089


3 1089
3 363
11 121
11 11
1

Prime factors of 1089 are 3,11. Prime factorization of 1089 in exponential form is:

1089 = 32×112

Prime Factorization of 1093


1093 1093
1

Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:

1093 = 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1093.

LCM(1089,1093) = 32×112×10931
LCM(1089,1093) = 1190277

Factors of 1089

List of positive integer factors of 1089 that divides 1089 without a remainder.

1, 3, 9, 11, 33, 99, 121, 363, 1089

Factors of 1093

List of positive integer factors of 1093 that divides 1093 without a remainder.

1, 1093

Least Common Multiple of 1089 and 1093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1089 and 1093, than apply into the LCM equation.

GCF(1089,1093) = 1
LCM(1089,1093) = ( 1089 × 1093) / 1
LCM(1089,1093) = 1190277 / 1
LCM(1089,1093) = 1190277

Properties of LCM 1089 and 1093

(i) The LCM of 1093 and 1089 is associative

LCM of 1089 and 1093 = LCM of 1093 and 1089

Related Least Common Multiples of 1089

Related Least Common Multiples of 1093

Frequently Asked Questions on LCM of 1089 and 1093

1. What is the LCM of 1089 and 1093?

Answer: LCM of 1089 and 1093 is 1190277.

2. What are the Factors of 1089?

Answer: Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. There are 9 integers that are factors of 1089. The greatest factor of 1089 is 1089.

3. What are the Factors of 1093?

Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.

4. How to Find the LCM of 1089 and 1093?

Answer:

Least Common Multiple of 1089 and 1093 = 1190277

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1093

1093 = 1093

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1190277 = 3 x 3 x 11 x 11 x 1093

Step 4: Therefore, the least common multiple of 1089 and 1093 is 1190277.