Least Common Multiple of 6003 and 6011

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 6011 the smallest integer that is 36084033 that is divisible by both numbers.

Least Common Multiple (LCM) of 6003 and 6011 is 36084033.

LCM(6003,6011) = 36084033

LCM of 6003 and 6011

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

LCM of:
and

Least Common Multiple of 6003 and 6011

LCM of 6003 and 6011 is 36084033

Least common multiple can be found by multiplying the highest exponent prime factors of 6003 and 6011. First we will calculate the prime factors of 6003 and 6011.

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 6011


6011 6011
1

Prime factors of 6011 are 6011. Prime factorization of 6011 in exponential form is:

6011 = 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 6003 and 6011.

LCM(6003,6011) = 32×231×291×60111
LCM(6003,6011) = 36084033

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 6011

List of positive integer factors of 6011 that divides 6011 without a remainder.

1, 6011

Least Common Multiple of 6003 and 6011 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 6011, than apply into the LCM equation.

GCF(6003,6011) = 1
LCM(6003,6011) = ( 6003 × 6011) / 1
LCM(6003,6011) = 36084033 / 1
LCM(6003,6011) = 36084033

Properties of LCM 6003 and 6011

(i) The LCM of 6011 and 6003 is associative

LCM of 6003 and 6011 = LCM of 6011 and 6003

Related Least Common Multiples of 6003

Related Least Common Multiples of 6011

Frequently Asked Questions on LCM of 6003 and 6011

1. What is the LCM of 6003 and 6011?

Answer: LCM of 6003 and 6011 is 36084033.

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 6011?

Answer: Factors of 6011 are 1, 6011. There are 2 integers that are factors of 6011. The greatest factor of 6011 is 6011.

4. How to Find the LCM of 6003 and 6011?

Answer:

Least Common Multiple of 6003 and 6011 = 36084033

Step 1: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

Step 2: Find the prime factorization of 6011

6011 = 6011

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

LCM = 36084033 = 3 x 3 x 23 x 29 x 6011

Step 4: Therefore, the least common multiple of 6003 and 6011 is 36084033.