Least Common Multiple of 6003 and 6009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6003 and 6009 the smallest integer that is 12024009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6003 and 6009 is 12024009.

LCM(6003,6009) = 12024009

LCM of 6003 and 6009

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

LCM of:
and

Least Common Multiple of 6003 and 6009

LCM of 6003 and 6009 is 12024009

Least common multiple can be found by multiplying the highest exponent prime factors of 6003 and 6009. First we will calculate the prime factors of 6003 and 6009.

Prime Factorization of 6003


3 6003
3 2001
23 667
29 29
1

Prime factors of 6003 are 3, 23,29. Prime factorization of 6003 in exponential form is:

6003 = 32×231×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6003 and 6009.

LCM(6003,6009) = 32×231×291×20031
LCM(6003,6009) = 12024009

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003

Factors of 6009

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

1, 3, 2003, 6009

Least Common Multiple of 6003 and 6009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6003 and 6009, than apply into the LCM equation.

GCF(6003,6009) = 3
LCM(6003,6009) = ( 6003 × 6009) / 3
LCM(6003,6009) = 36072027 / 3
LCM(6003,6009) = 12024009

Properties of LCM 6003 and 6009

(i) The LCM of 6009 and 6003 is associative

LCM of 6003 and 6009 = LCM of 6009 and 6003

Related Least Common Multiples of 6003

Related Least Common Multiples of 6009

Frequently Asked Questions on LCM of 6003 and 6009

1. What is the LCM of 6003 and 6009?

Answer: LCM of 6003 and 6009 is 12024009.

2. What are the Factors of 6003?

Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.

3. 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.

4. How to Find the LCM of 6003 and 6009?

Answer:

Least Common Multiple of 6003 and 6009 = 12024009

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6009

6009 = 3 x 2003

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

LCM = 12024009 = 3 x 3 x 23 x 29 x 2003

Step 4: Therefore, the least common multiple of 6003 and 6009 is 12024009.