Least Common Multiple of 1084 and 1089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1084 and 1089 the smallest integer that is 1180476 that is divisible by both numbers.

Least Common Multiple (LCM) of 1084 and 1089 is 1180476.

LCM(1084,1089) = 1180476

LCM of 1084 and 1089

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

LCM of:
and

Least Common Multiple of 1084 and 1089

LCM of 1084 and 1089 is 1180476

Least common multiple can be found by multiplying the highest exponent prime factors of 1084 and 1089. First we will calculate the prime factors of 1084 and 1089.

Prime Factorization of 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1084 and 1089.

LCM(1084,1089) = 22×32×112×2711
LCM(1084,1089) = 1180476

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1, 2, 4, 271, 542, 1084

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

Least Common Multiple of 1084 and 1089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1084 and 1089, than apply into the LCM equation.

GCF(1084,1089) = 1
LCM(1084,1089) = ( 1084 × 1089) / 1
LCM(1084,1089) = 1180476 / 1
LCM(1084,1089) = 1180476

Properties of LCM 1084 and 1089

(i) The LCM of 1089 and 1084 is associative

LCM of 1084 and 1089 = LCM of 1089 and 1084

Related Least Common Multiples of 1084

Related Least Common Multiples of 1089

Frequently Asked Questions on LCM of 1084 and 1089

1. What is the LCM of 1084 and 1089?

Answer: LCM of 1084 and 1089 is 1180476.

2. What are the Factors of 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

3. 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.

4. How to Find the LCM of 1084 and 1089?

Answer:

Least Common Multiple of 1084 and 1089 = 1180476

Step 1: Find the prime factorization of 1084

1084 = 2 x 2 x 271

Step 2: Find the prime factorization of 1089

1089 = 3 x 3 x 11 x 11

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

LCM = 1180476 = 2 x 2 x 3 x 3 x 11 x 11 x 271

Step 4: Therefore, the least common multiple of 1084 and 1089 is 1180476.