Least Common Multiple of 1089 and 1096

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 1096 the smallest integer that is 1193544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1089 and 1096 is 1193544.

LCM(1089,1096) = 1193544

LCM of 1089 and 1096

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

LCM of:
and

Least Common Multiple of 1089 and 1096

LCM of 1089 and 1096 is 1193544

Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1096. First we will calculate the prime factors of 1089 and 1096.

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 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1096.

LCM(1089,1096) = 23×32×112×1371
LCM(1089,1096) = 1193544

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 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1, 2, 4, 8, 137, 274, 548, 1096

Least Common Multiple of 1089 and 1096 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 1096, than apply into the LCM equation.

GCF(1089,1096) = 1
LCM(1089,1096) = ( 1089 × 1096) / 1
LCM(1089,1096) = 1193544 / 1
LCM(1089,1096) = 1193544

Properties of LCM 1089 and 1096

(i) The LCM of 1096 and 1089 is associative

LCM of 1089 and 1096 = LCM of 1096 and 1089

Related Least Common Multiples of 1089

Related Least Common Multiples of 1096

Frequently Asked Questions on LCM of 1089 and 1096

1. What is the LCM of 1089 and 1096?

Answer: LCM of 1089 and 1096 is 1193544.

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 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

4. How to Find the LCM of 1089 and 1096?

Answer:

Least Common Multiple of 1089 and 1096 = 1193544

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

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

LCM = 1193544 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 137

Step 4: Therefore, the least common multiple of 1089 and 1096 is 1193544.