Least Common Multiple of 9084 and 9089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9084 and 9089 the smallest integer that is 82564476 that is divisible by both numbers.

Least Common Multiple (LCM) of 9084 and 9089 is 82564476.

LCM(9084,9089) = 82564476

LCM of 9084 and 9089

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

LCM of:
and

Least Common Multiple of 9084 and 9089

LCM of 9084 and 9089 is 82564476

Least common multiple can be found by multiplying the highest exponent prime factors of 9084 and 9089. First we will calculate the prime factors of 9084 and 9089.

Prime Factorization of 9084


2 9084
2 4542
3 2271
757 757
1

Prime factors of 9084 are 2, 3,757. Prime factorization of 9084 in exponential form is:

9084 = 22×31×7571

Prime Factorization of 9089


61 9089
149 149
1

Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:

9089 = 611×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9084 and 9089.

LCM(9084,9089) = 22×31×611×1491×7571
LCM(9084,9089) = 82564476

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084

Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1, 61, 149, 9089

Least Common Multiple of 9084 and 9089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9084 and 9089, than apply into the LCM equation.

GCF(9084,9089) = 1
LCM(9084,9089) = ( 9084 × 9089) / 1
LCM(9084,9089) = 82564476 / 1
LCM(9084,9089) = 82564476

Properties of LCM 9084 and 9089

(i) The LCM of 9089 and 9084 is associative

LCM of 9084 and 9089 = LCM of 9089 and 9084

Related Least Common Multiples of 9084

Related Least Common Multiples of 9089

Frequently Asked Questions on LCM of 9084 and 9089

1. What is the LCM of 9084 and 9089?

Answer: LCM of 9084 and 9089 is 82564476.

2. What are the Factors of 9084?

Answer: Factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084. There are 12 integers that are factors of 9084. The greatest factor of 9084 is 9084.

3. What are the Factors of 9089?

Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.

4. How to Find the LCM of 9084 and 9089?

Answer:

Least Common Multiple of 9084 and 9089 = 82564476

Step 1: Find the prime factorization of 9084

9084 = 2 x 2 x 3 x 757

Step 2: Find the prime factorization of 9089

9089 = 61 x 149

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

LCM = 82564476 = 2 x 2 x 3 x 61 x 149 x 757

Step 4: Therefore, the least common multiple of 9084 and 9089 is 82564476.