Least Common Multiple of 6081 and 6084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6081 and 6084 the smallest integer that is 12332268 that is divisible by both numbers.

Least Common Multiple (LCM) of 6081 and 6084 is 12332268.

LCM(6081,6084) = 12332268

LCM of 6081 and 6084

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

LCM of:
and

Least Common Multiple of 6081 and 6084

LCM of 6081 and 6084 is 12332268

Least common multiple can be found by multiplying the highest exponent prime factors of 6081 and 6084. First we will calculate the prime factors of 6081 and 6084.

Prime Factorization of 6081


3 6081
2027 2027
1

Prime factors of 6081 are 3,2027. Prime factorization of 6081 in exponential form is:

6081 = 31×20271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6081 and 6084.

LCM(6081,6084) = 22×32×132×20271
LCM(6081,6084) = 12332268

Factors of 6081

List of positive integer factors of 6081 that divides 6081 without a remainder.

1, 3, 2027, 6081

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

Least Common Multiple of 6081 and 6084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6081 and 6084, than apply into the LCM equation.

GCF(6081,6084) = 3
LCM(6081,6084) = ( 6081 × 6084) / 3
LCM(6081,6084) = 36996804 / 3
LCM(6081,6084) = 12332268

Properties of LCM 6081 and 6084

(i) The LCM of 6084 and 6081 is associative

LCM of 6081 and 6084 = LCM of 6084 and 6081

Related Least Common Multiples of 6081

Related Least Common Multiples of 6084

Frequently Asked Questions on LCM of 6081 and 6084

1. What is the LCM of 6081 and 6084?

Answer: LCM of 6081 and 6084 is 12332268.

2. What are the Factors of 6081?

Answer: Factors of 6081 are 1, 3, 2027, 6081. There are 4 integers that are factors of 6081. The greatest factor of 6081 is 6081.

3. 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.

4. How to Find the LCM of 6081 and 6084?

Answer:

Least Common Multiple of 6081 and 6084 = 12332268

Step 1: Find the prime factorization of 6081

6081 = 3 x 2027

Step 2: Find the prime factorization of 6084

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

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

LCM = 12332268 = 2 x 2 x 3 x 3 x 13 x 13 x 2027

Step 4: Therefore, the least common multiple of 6081 and 6084 is 12332268.