Least Common Multiple of 6013 and 6019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6013 and 6019 the smallest integer that is 36192247 that is divisible by both numbers.

Least Common Multiple (LCM) of 6013 and 6019 is 36192247.

LCM(6013,6019) = 36192247

LCM of 6013 and 6019

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

LCM of:
and

Least Common Multiple of 6013 and 6019

LCM of 6013 and 6019 is 36192247

Least common multiple can be found by multiplying the highest exponent prime factors of 6013 and 6019. First we will calculate the prime factors of 6013 and 6019.

Prime Factorization of 6013


7 6013
859 859
1

Prime factors of 6013 are 7,859. Prime factorization of 6013 in exponential form is:

6013 = 71×8591

Prime Factorization of 6019


13 6019
463 463
1

Prime factors of 6019 are 13,463. Prime factorization of 6019 in exponential form is:

6019 = 131×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 6013 and 6019.

LCM(6013,6019) = 71×131×4631×8591
LCM(6013,6019) = 36192247

Factors of 6013

List of positive integer factors of 6013 that divides 6013 without a remainder.

1, 7, 859, 6013

Factors of 6019

List of positive integer factors of 6019 that divides 6019 without a remainder.

1, 13, 463, 6019

Least Common Multiple of 6013 and 6019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6013 and 6019, than apply into the LCM equation.

GCF(6013,6019) = 1
LCM(6013,6019) = ( 6013 × 6019) / 1
LCM(6013,6019) = 36192247 / 1
LCM(6013,6019) = 36192247

Properties of LCM 6013 and 6019

(i) The LCM of 6019 and 6013 is associative

LCM of 6013 and 6019 = LCM of 6019 and 6013

Related Least Common Multiples of 6013

Related Least Common Multiples of 6019

Frequently Asked Questions on LCM of 6013 and 6019

1. What is the LCM of 6013 and 6019?

Answer: LCM of 6013 and 6019 is 36192247.

2. What are the Factors of 6013?

Answer: Factors of 6013 are 1, 7, 859, 6013. There are 4 integers that are factors of 6013. The greatest factor of 6013 is 6013.

3. What are the Factors of 6019?

Answer: Factors of 6019 are 1, 13, 463, 6019. There are 4 integers that are factors of 6019. The greatest factor of 6019 is 6019.

4. How to Find the LCM of 6013 and 6019?

Answer:

Least Common Multiple of 6013 and 6019 = 36192247

Step 1: Find the prime factorization of 6013

6013 = 7 x 859

Step 2: Find the prime factorization of 6019

6019 = 13 x 463

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

LCM = 36192247 = 7 x 13 x 463 x 859

Step 4: Therefore, the least common multiple of 6013 and 6019 is 36192247.