Least Common Multiple of 6084 and 6091

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 6091 the smallest integer that is 37057644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6084 and 6091 is 37057644.

LCM(6084,6091) = 37057644

LCM of 6084 and 6091

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

LCM of:
and

Least Common Multiple of 6084 and 6091

LCM of 6084 and 6091 is 37057644

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6091. First we will calculate the prime factors of 6084 and 6091.

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 6091


6091 6091
1

Prime factors of 6091 are 6091. Prime factorization of 6091 in exponential form is:

6091 = 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6091.

LCM(6084,6091) = 22×32×132×60911
LCM(6084,6091) = 37057644

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 6091

List of positive integer factors of 6091 that divides 6091 without a remainder.

1, 6091

Least Common Multiple of 6084 and 6091 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 6091, than apply into the LCM equation.

GCF(6084,6091) = 1
LCM(6084,6091) = ( 6084 × 6091) / 1
LCM(6084,6091) = 37057644 / 1
LCM(6084,6091) = 37057644

Properties of LCM 6084 and 6091

(i) The LCM of 6091 and 6084 is associative

LCM of 6084 and 6091 = LCM of 6091 and 6084

Related Least Common Multiples of 6084

Related Least Common Multiples of 6091

Frequently Asked Questions on LCM of 6084 and 6091

1. What is the LCM of 6084 and 6091?

Answer: LCM of 6084 and 6091 is 37057644.

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 6091?

Answer: Factors of 6091 are 1, 6091. There are 2 integers that are factors of 6091. The greatest factor of 6091 is 6091.

4. How to Find the LCM of 6084 and 6091?

Answer:

Least Common Multiple of 6084 and 6091 = 37057644

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 6091

6091 = 6091

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

LCM = 37057644 = 2 x 2 x 3 x 3 x 13 x 13 x 6091

Step 4: Therefore, the least common multiple of 6084 and 6091 is 37057644.