Least Common Multiple of 6079 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 6079 and 6084 the smallest integer that is 36984636 that is divisible by both numbers.

Least Common Multiple (LCM) of 6079 and 6084 is 36984636.

LCM(6079,6084) = 36984636

LCM of 6079 and 6084

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

LCM of:
and

Least Common Multiple of 6079 and 6084

LCM of 6079 and 6084 is 36984636

Least common multiple can be found by multiplying the highest exponent prime factors of 6079 and 6084. First we will calculate the prime factors of 6079 and 6084.

Prime Factorization of 6079


6079 6079
1

Prime factors of 6079 are 6079. Prime factorization of 6079 in exponential form is:

6079 = 60791

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 6079 and 6084.

LCM(6079,6084) = 22×32×132×60791
LCM(6079,6084) = 36984636

Factors of 6079

List of positive integer factors of 6079 that divides 6079 without a remainder.

1, 6079

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 6079 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 6079 and 6084, than apply into the LCM equation.

GCF(6079,6084) = 1
LCM(6079,6084) = ( 6079 × 6084) / 1
LCM(6079,6084) = 36984636 / 1
LCM(6079,6084) = 36984636

Properties of LCM 6079 and 6084

(i) The LCM of 6084 and 6079 is associative

LCM of 6079 and 6084 = LCM of 6084 and 6079

Related Least Common Multiples of 6079

Related Least Common Multiples of 6084

Frequently Asked Questions on LCM of 6079 and 6084

1. What is the LCM of 6079 and 6084?

Answer: LCM of 6079 and 6084 is 36984636.

2. What are the Factors of 6079?

Answer: Factors of 6079 are 1, 6079. There are 2 integers that are factors of 6079. The greatest factor of 6079 is 6079.

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 6079 and 6084?

Answer:

Least Common Multiple of 6079 and 6084 = 36984636

Step 1: Find the prime factorization of 6079

6079 = 6079

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 = 36984636 = 2 x 2 x 3 x 3 x 13 x 13 x 6079

Step 4: Therefore, the least common multiple of 6079 and 6084 is 36984636.