Least Common Multiple of 6084 and 6089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6084 and 6089 the smallest integer that is 37045476 that is divisible by both numbers.

Least Common Multiple (LCM) of 6084 and 6089 is 37045476.

LCM(6084,6089) = 37045476

LCM of 6084 and 6089

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

LCM of:
and

Least Common Multiple of 6084 and 6089

LCM of 6084 and 6089 is 37045476

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6089. First we will calculate the prime factors of 6084 and 6089.

Prime Factorization of 6084


2 6084
2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 6084 are 2, 3,13. Prime factorization of 6084 in exponential form is:

6084 = 22×32×132

Prime Factorization of 6089


6089 6089
1

Prime factors of 6089 are 6089. Prime factorization of 6089 in exponential form is:

6089 = 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6089.

LCM(6084,6089) = 22×32×132×60891
LCM(6084,6089) = 37045476

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084

Factors of 6089

List of positive integer factors of 6089 that divides 6089 without a remainder.

1, 6089

Least Common Multiple of 6084 and 6089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6084 and 6089, than apply into the LCM equation.

GCF(6084,6089) = 1
LCM(6084,6089) = ( 6084 × 6089) / 1
LCM(6084,6089) = 37045476 / 1
LCM(6084,6089) = 37045476

Properties of LCM 6084 and 6089

(i) The LCM of 6089 and 6084 is associative

LCM of 6084 and 6089 = LCM of 6089 and 6084

Related Least Common Multiples of 6084

Related Least Common Multiples of 6089

Frequently Asked Questions on LCM of 6084 and 6089

1. What is the LCM of 6084 and 6089?

Answer: LCM of 6084 and 6089 is 37045476.

2. What are the Factors of 6084?

Answer: Factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. There are 27 integers that are factors of 6084. The greatest factor of 6084 is 6084.

3. What are the Factors of 6089?

Answer: Factors of 6089 are 1, 6089. There are 2 integers that are factors of 6089. The greatest factor of 6089 is 6089.

4. How to Find the LCM of 6084 and 6089?

Answer:

Least Common Multiple of 6084 and 6089 = 37045476

Step 1: Find the prime factorization of 6084

6084 = 2 x 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 6089

6089 = 6089

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

LCM = 37045476 = 2 x 2 x 3 x 3 x 13 x 13 x 6089

Step 4: Therefore, the least common multiple of 6084 and 6089 is 37045476.