Least Common Multiple of 6003 and 6007

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 6007 the smallest integer that is 36060021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6003 and 6007 is 36060021.

LCM(6003,6007) = 36060021

LCM of 6003 and 6007

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

LCM of:
and

Least Common Multiple of 6003 and 6007

LCM of 6003 and 6007 is 36060021

Least common multiple can be found by multiplying the highest exponent prime factors of 6003 and 6007. First we will calculate the prime factors of 6003 and 6007.

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 6007


6007 6007
1

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

6007 = 60071

Now multiplying the highest exponent prime factors to calculate the LCM of 6003 and 6007.

LCM(6003,6007) = 32×231×291×60071
LCM(6003,6007) = 36060021

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 6007

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

1, 6007

Least Common Multiple of 6003 and 6007 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 6007, than apply into the LCM equation.

GCF(6003,6007) = 1
LCM(6003,6007) = ( 6003 × 6007) / 1
LCM(6003,6007) = 36060021 / 1
LCM(6003,6007) = 36060021

Properties of LCM 6003 and 6007

(i) The LCM of 6007 and 6003 is associative

LCM of 6003 and 6007 = LCM of 6007 and 6003

Related Least Common Multiples of 6003

Related Least Common Multiples of 6007

Frequently Asked Questions on LCM of 6003 and 6007

1. What is the LCM of 6003 and 6007?

Answer: LCM of 6003 and 6007 is 36060021.

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 6007?

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

4. How to Find the LCM of 6003 and 6007?

Answer:

Least Common Multiple of 6003 and 6007 = 36060021

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6007

6007 = 6007

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

LCM = 36060021 = 3 x 3 x 23 x 29 x 6007

Step 4: Therefore, the least common multiple of 6003 and 6007 is 36060021.