Least Common Multiple of 6084 and 6088

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 6088 the smallest integer that is 9259848 that is divisible by both numbers.

Least Common Multiple (LCM) of 6084 and 6088 is 9259848.

LCM(6084,6088) = 9259848

LCM of 6084 and 6088

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

LCM of:
and

Least Common Multiple of 6084 and 6088

LCM of 6084 and 6088 is 9259848

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6088. First we will calculate the prime factors of 6084 and 6088.

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 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6088.

LCM(6084,6088) = 23×32×132×7611
LCM(6084,6088) = 9259848

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 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1, 2, 4, 8, 761, 1522, 3044, 6088

Least Common Multiple of 6084 and 6088 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 6088, than apply into the LCM equation.

GCF(6084,6088) = 4
LCM(6084,6088) = ( 6084 × 6088) / 4
LCM(6084,6088) = 37039392 / 4
LCM(6084,6088) = 9259848

Properties of LCM 6084 and 6088

(i) The LCM of 6088 and 6084 is associative

LCM of 6084 and 6088 = LCM of 6088 and 6084

Related Least Common Multiples of 6084

Related Least Common Multiples of 6088

Frequently Asked Questions on LCM of 6084 and 6088

1. What is the LCM of 6084 and 6088?

Answer: LCM of 6084 and 6088 is 9259848.

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 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

4. How to Find the LCM of 6084 and 6088?

Answer:

Least Common Multiple of 6084 and 6088 = 9259848

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 6088

6088 = 2 x 2 x 2 x 761

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

LCM = 9259848 = 2 x 2 x 2 x 3 x 3 x 13 x 13 x 761

Step 4: Therefore, the least common multiple of 6084 and 6088 is 9259848.