Least Common Multiple of 6079 and 6087

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 6087 the smallest integer that is 37002873 that is divisible by both numbers.

Least Common Multiple (LCM) of 6079 and 6087 is 37002873.

LCM(6079,6087) = 37002873

LCM of 6079 and 6087

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

LCM of:
and

Least Common Multiple of 6079 and 6087

LCM of 6079 and 6087 is 37002873

Least common multiple can be found by multiplying the highest exponent prime factors of 6079 and 6087. First we will calculate the prime factors of 6079 and 6087.

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 6087


3 6087
2029 2029
1

Prime factors of 6087 are 3,2029. Prime factorization of 6087 in exponential form is:

6087 = 31×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 6079 and 6087.

LCM(6079,6087) = 31×20291×60791
LCM(6079,6087) = 37002873

Factors of 6079

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

1, 6079

Factors of 6087

List of positive integer factors of 6087 that divides 6087 without a remainder.

1, 3, 2029, 6087

Least Common Multiple of 6079 and 6087 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 6087, than apply into the LCM equation.

GCF(6079,6087) = 1
LCM(6079,6087) = ( 6079 × 6087) / 1
LCM(6079,6087) = 37002873 / 1
LCM(6079,6087) = 37002873

Properties of LCM 6079 and 6087

(i) The LCM of 6087 and 6079 is associative

LCM of 6079 and 6087 = LCM of 6087 and 6079

Related Least Common Multiples of 6079

Related Least Common Multiples of 6087

Frequently Asked Questions on LCM of 6079 and 6087

1. What is the LCM of 6079 and 6087?

Answer: LCM of 6079 and 6087 is 37002873.

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 6087?

Answer: Factors of 6087 are 1, 3, 2029, 6087. There are 4 integers that are factors of 6087. The greatest factor of 6087 is 6087.

4. How to Find the LCM of 6079 and 6087?

Answer:

Least Common Multiple of 6079 and 6087 = 37002873

Step 1: Find the prime factorization of 6079

6079 = 6079

Step 2: Find the prime factorization of 6087

6087 = 3 x 2029

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

LCM = 37002873 = 3 x 2029 x 6079

Step 4: Therefore, the least common multiple of 6079 and 6087 is 37002873.