Least Common Multiple of 1089 and 1095

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 1095 the smallest integer that is 397485 that is divisible by both numbers.

Least Common Multiple (LCM) of 1089 and 1095 is 397485.

LCM(1089,1095) = 397485

LCM of 1089 and 1095

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

LCM of:
and

Least Common Multiple of 1089 and 1095

LCM of 1089 and 1095 is 397485

Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1095. First we will calculate the prime factors of 1089 and 1095.

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 1095


3 1095
5 365
73 73
1

Prime factors of 1095 are 3, 5,73. Prime factorization of 1095 in exponential form is:

1095 = 31×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1095.

LCM(1089,1095) = 32×51×112×731
LCM(1089,1095) = 397485

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 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1, 3, 5, 15, 73, 219, 365, 1095

Least Common Multiple of 1089 and 1095 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 1095, than apply into the LCM equation.

GCF(1089,1095) = 3
LCM(1089,1095) = ( 1089 × 1095) / 3
LCM(1089,1095) = 1192455 / 3
LCM(1089,1095) = 397485

Properties of LCM 1089 and 1095

(i) The LCM of 1095 and 1089 is associative

LCM of 1089 and 1095 = LCM of 1095 and 1089

Related Least Common Multiples of 1089

Related Least Common Multiples of 1095

Frequently Asked Questions on LCM of 1089 and 1095

1. What is the LCM of 1089 and 1095?

Answer: LCM of 1089 and 1095 is 397485.

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 1095?

Answer: Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. There are 8 integers that are factors of 1095. The greatest factor of 1095 is 1095.

4. How to Find the LCM of 1089 and 1095?

Answer:

Least Common Multiple of 1089 and 1095 = 397485

Step 1: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 1095

1095 = 3 x 5 x 73

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

LCM = 397485 = 3 x 3 x 5 x 11 x 11 x 73

Step 4: Therefore, the least common multiple of 1089 and 1095 is 397485.