Least Common Multiple of 6007 and 6013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6007 and 6013 the smallest integer that is 36120091 that is divisible by both numbers.

Least Common Multiple (LCM) of 6007 and 6013 is 36120091.

LCM(6007,6013) = 36120091

LCM of 6007 and 6013

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

LCM of:
and

Least Common Multiple of 6007 and 6013

LCM of 6007 and 6013 is 36120091

Least common multiple can be found by multiplying the highest exponent prime factors of 6007 and 6013. First we will calculate the prime factors of 6007 and 6013.

Prime Factorization of 6007


6007 6007
1

Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:

6007 = 60071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6007 and 6013.

LCM(6007,6013) = 71×8591×60071
LCM(6007,6013) = 36120091

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1, 6007

Factors of 6013

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

1, 7, 859, 6013

Least Common Multiple of 6007 and 6013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6007 and 6013, than apply into the LCM equation.

GCF(6007,6013) = 1
LCM(6007,6013) = ( 6007 × 6013) / 1
LCM(6007,6013) = 36120091 / 1
LCM(6007,6013) = 36120091

Properties of LCM 6007 and 6013

(i) The LCM of 6013 and 6007 is associative

LCM of 6007 and 6013 = LCM of 6013 and 6007

Related Least Common Multiples of 6007

Related Least Common Multiples of 6013

Frequently Asked Questions on LCM of 6007 and 6013

1. What is the LCM of 6007 and 6013?

Answer: LCM of 6007 and 6013 is 36120091.

2. What are the Factors of 6007?

Answer: Factors of 6007 are 1, 6007. There are 2 integers that are factors of 6007. The greatest factor of 6007 is 6007.

3. 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.

4. How to Find the LCM of 6007 and 6013?

Answer:

Least Common Multiple of 6007 and 6013 = 36120091

Step 1: Find the prime factorization of 6007

6007 = 6007

Step 2: Find the prime factorization of 6013

6013 = 7 x 859

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

LCM = 36120091 = 7 x 859 x 6007

Step 4: Therefore, the least common multiple of 6007 and 6013 is 36120091.