Least Common Multiple of 6077 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 6077 and 6084 the smallest integer that is 36972468 that is divisible by both numbers.

Least Common Multiple (LCM) of 6077 and 6084 is 36972468.

LCM(6077,6084) = 36972468

LCM of 6077 and 6084

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

LCM of:
and

Least Common Multiple of 6077 and 6084

LCM of 6077 and 6084 is 36972468

Least common multiple can be found by multiplying the highest exponent prime factors of 6077 and 6084. First we will calculate the prime factors of 6077 and 6084.

Prime Factorization of 6077


59 6077
103 103
1

Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:

6077 = 591×1031

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 6077 and 6084.

LCM(6077,6084) = 22×32×132×591×1031
LCM(6077,6084) = 36972468

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1, 59, 103, 6077

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 6077 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 6077 and 6084, than apply into the LCM equation.

GCF(6077,6084) = 1
LCM(6077,6084) = ( 6077 × 6084) / 1
LCM(6077,6084) = 36972468 / 1
LCM(6077,6084) = 36972468

Properties of LCM 6077 and 6084

(i) The LCM of 6084 and 6077 is associative

LCM of 6077 and 6084 = LCM of 6084 and 6077

Related Least Common Multiples of 6077

Related Least Common Multiples of 6084

Frequently Asked Questions on LCM of 6077 and 6084

1. What is the LCM of 6077 and 6084?

Answer: LCM of 6077 and 6084 is 36972468.

2. What are the Factors of 6077?

Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.

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 6077 and 6084?

Answer:

Least Common Multiple of 6077 and 6084 = 36972468

Step 1: Find the prime factorization of 6077

6077 = 59 x 103

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 = 36972468 = 2 x 2 x 3 x 3 x 13 x 13 x 59 x 103

Step 4: Therefore, the least common multiple of 6077 and 6084 is 36972468.