Least Common Multiple of 6009 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 6009 and 6013 the smallest integer that is 36132117 that is divisible by both numbers.

Least Common Multiple (LCM) of 6009 and 6013 is 36132117.

LCM(6009,6013) = 36132117

LCM of 6009 and 6013

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

LCM of:
and

Least Common Multiple of 6009 and 6013

LCM of 6009 and 6013 is 36132117

Least common multiple can be found by multiplying the highest exponent prime factors of 6009 and 6013. First we will calculate the prime factors of 6009 and 6013.

Prime Factorization of 6009


3 6009
2003 2003
1

Prime factors of 6009 are 3,2003. Prime factorization of 6009 in exponential form is:

6009 = 31×20031

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 6009 and 6013.

LCM(6009,6013) = 31×71×8591×20031
LCM(6009,6013) = 36132117

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1, 3, 2003, 6009

Factors of 6013

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

1, 7, 859, 6013

Least Common Multiple of 6009 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 6009 and 6013, than apply into the LCM equation.

GCF(6009,6013) = 1
LCM(6009,6013) = ( 6009 × 6013) / 1
LCM(6009,6013) = 36132117 / 1
LCM(6009,6013) = 36132117

Properties of LCM 6009 and 6013

(i) The LCM of 6013 and 6009 is associative

LCM of 6009 and 6013 = LCM of 6013 and 6009

Related Least Common Multiples of 6009

Related Least Common Multiples of 6013

Frequently Asked Questions on LCM of 6009 and 6013

1. What is the LCM of 6009 and 6013?

Answer: LCM of 6009 and 6013 is 36132117.

2. What are the Factors of 6009?

Answer: Factors of 6009 are 1, 3, 2003, 6009. There are 4 integers that are factors of 6009. The greatest factor of 6009 is 6009.

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 6009 and 6013?

Answer:

Least Common Multiple of 6009 and 6013 = 36132117

Step 1: Find the prime factorization of 6009

6009 = 3 x 2003

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 = 36132117 = 3 x 7 x 859 x 2003

Step 4: Therefore, the least common multiple of 6009 and 6013 is 36132117.