Least Common Multiple of 3003 and 3011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3003 and 3011 the smallest integer that is 9042033 that is divisible by both numbers.

Least Common Multiple (LCM) of 3003 and 3011 is 9042033.

LCM(3003,3011) = 9042033

LCM of 3003 and 3011

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

LCM of:
and

Least Common Multiple of 3003 and 3011

LCM of 3003 and 3011 is 9042033

Least common multiple can be found by multiplying the highest exponent prime factors of 3003 and 3011. First we will calculate the prime factors of 3003 and 3011.

Prime Factorization of 3003


3 3003
7 1001
11 143
13 13
1

Prime factors of 3003 are 3, 7, 11,13. Prime factorization of 3003 in exponential form is:

3003 = 31×71×111×131

Prime Factorization of 3011


3011 3011
1

Prime factors of 3011 are 3011. Prime factorization of 3011 in exponential form is:

3011 = 30111

Now multiplying the highest exponent prime factors to calculate the LCM of 3003 and 3011.

LCM(3003,3011) = 31×71×111×131×30111
LCM(3003,3011) = 9042033

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003

Factors of 3011

List of positive integer factors of 3011 that divides 3011 without a remainder.

1, 3011

Least Common Multiple of 3003 and 3011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3003 and 3011, than apply into the LCM equation.

GCF(3003,3011) = 1
LCM(3003,3011) = ( 3003 × 3011) / 1
LCM(3003,3011) = 9042033 / 1
LCM(3003,3011) = 9042033

Properties of LCM 3003 and 3011

(i) The LCM of 3011 and 3003 is associative

LCM of 3003 and 3011 = LCM of 3011 and 3003

Related Least Common Multiples of 3003

Related Least Common Multiples of 3011

Frequently Asked Questions on LCM of 3003 and 3011

1. What is the LCM of 3003 and 3011?

Answer: LCM of 3003 and 3011 is 9042033.

2. What are the Factors of 3003?

Answer: Factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. There are 16 integers that are factors of 3003. The greatest factor of 3003 is 3003.

3. What are the Factors of 3011?

Answer: Factors of 3011 are 1, 3011. There are 2 integers that are factors of 3011. The greatest factor of 3011 is 3011.

4. How to Find the LCM of 3003 and 3011?

Answer:

Least Common Multiple of 3003 and 3011 = 9042033

Step 1: Find the prime factorization of 3003

3003 = 3 x 7 x 11 x 13

Step 2: Find the prime factorization of 3011

3011 = 3011

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

LCM = 9042033 = 3 x 7 x 11 x 13 x 3011

Step 4: Therefore, the least common multiple of 3003 and 3011 is 9042033.