Least Common Multiple of 1089 and 1097

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 1097 the smallest integer that is 1194633 that is divisible by both numbers.

Least Common Multiple (LCM) of 1089 and 1097 is 1194633.

LCM(1089,1097) = 1194633

LCM of 1089 and 1097

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

LCM of:
and

Least Common Multiple of 1089 and 1097

LCM of 1089 and 1097 is 1194633

Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1097. First we will calculate the prime factors of 1089 and 1097.

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 1097


1097 1097
1

Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:

1097 = 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1097.

LCM(1089,1097) = 32×112×10971
LCM(1089,1097) = 1194633

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 1097

List of positive integer factors of 1097 that divides 1097 without a remainder.

1, 1097

Least Common Multiple of 1089 and 1097 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 1097, than apply into the LCM equation.

GCF(1089,1097) = 1
LCM(1089,1097) = ( 1089 × 1097) / 1
LCM(1089,1097) = 1194633 / 1
LCM(1089,1097) = 1194633

Properties of LCM 1089 and 1097

(i) The LCM of 1097 and 1089 is associative

LCM of 1089 and 1097 = LCM of 1097 and 1089

Related Least Common Multiples of 1089

Related Least Common Multiples of 1097

Frequently Asked Questions on LCM of 1089 and 1097

1. What is the LCM of 1089 and 1097?

Answer: LCM of 1089 and 1097 is 1194633.

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 1097?

Answer: Factors of 1097 are 1, 1097. There are 2 integers that are factors of 1097. The greatest factor of 1097 is 1097.

4. How to Find the LCM of 1089 and 1097?

Answer:

Least Common Multiple of 1089 and 1097 = 1194633

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1097

1097 = 1097

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

LCM = 1194633 = 3 x 3 x 11 x 11 x 1097

Step 4: Therefore, the least common multiple of 1089 and 1097 is 1194633.