Least Common Multiple of 6076 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 6076 and 6084 the smallest integer that is 9241596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6076 and 6084 is 9241596.

LCM(6076,6084) = 9241596

LCM of 6076 and 6084

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

LCM of:
and

Least Common Multiple of 6076 and 6084

LCM of 6076 and 6084 is 9241596

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6084. First we will calculate the prime factors of 6076 and 6084.

Prime Factorization of 6076


2 6076
2 3038
7 1519
7 217
31 31
1

Prime factors of 6076 are 2, 7,31. Prime factorization of 6076 in exponential form is:

6076 = 22×72×311

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 6076 and 6084.

LCM(6076,6084) = 22×32×72×132×311
LCM(6076,6084) = 9241596

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

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 6076 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 6076 and 6084, than apply into the LCM equation.

GCF(6076,6084) = 4
LCM(6076,6084) = ( 6076 × 6084) / 4
LCM(6076,6084) = 36966384 / 4
LCM(6076,6084) = 9241596

Properties of LCM 6076 and 6084

(i) The LCM of 6084 and 6076 is associative

LCM of 6076 and 6084 = LCM of 6084 and 6076

Related Least Common Multiples of 6076

Related Least Common Multiples of 6084

Frequently Asked Questions on LCM of 6076 and 6084

1. What is the LCM of 6076 and 6084?

Answer: LCM of 6076 and 6084 is 9241596.

2. What are the Factors of 6076?

Answer: Factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076. There are 18 integers that are factors of 6076. The greatest factor of 6076 is 6076.

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 6076 and 6084?

Answer:

Least Common Multiple of 6076 and 6084 = 9241596

Step 1: Find the prime factorization of 6076

6076 = 2 x 2 x 7 x 7 x 31

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 = 9241596 = 2 x 2 x 3 x 3 x 7 x 7 x 13 x 13 x 31

Step 4: Therefore, the least common multiple of 6076 and 6084 is 9241596.