Least Common Multiple of 6078 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 6078 and 6084 the smallest integer that is 6163092 that is divisible by both numbers.

Least Common Multiple (LCM) of 6078 and 6084 is 6163092.

LCM(6078,6084) = 6163092

LCM of 6078 and 6084

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

LCM of:
and

Least Common Multiple of 6078 and 6084

LCM of 6078 and 6084 is 6163092

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6084. First we will calculate the prime factors of 6078 and 6084.

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

Prime factors of 6078 are 2, 3,1013. Prime factorization of 6078 in exponential form is:

6078 = 21×31×10131

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 6078 and 6084.

LCM(6078,6084) = 22×32×132×10131
LCM(6078,6084) = 6163092

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1, 2, 3, 6, 1013, 2026, 3039, 6078

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 6078 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 6078 and 6084, than apply into the LCM equation.

GCF(6078,6084) = 6
LCM(6078,6084) = ( 6078 × 6084) / 6
LCM(6078,6084) = 36978552 / 6
LCM(6078,6084) = 6163092

Properties of LCM 6078 and 6084

(i) The LCM of 6084 and 6078 is associative

LCM of 6078 and 6084 = LCM of 6084 and 6078

Related Least Common Multiples of 6078

Related Least Common Multiples of 6084

Frequently Asked Questions on LCM of 6078 and 6084

1. What is the LCM of 6078 and 6084?

Answer: LCM of 6078 and 6084 is 6163092.

2. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

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 6078 and 6084?

Answer:

Least Common Multiple of 6078 and 6084 = 6163092

Step 1: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

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 = 6163092 = 2 x 2 x 3 x 3 x 13 x 13 x 1013

Step 4: Therefore, the least common multiple of 6078 and 6084 is 6163092.