Least Common Multiple of 3003 and 3010

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 3010 the smallest integer that is 1291290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3003 and 3010 is 1291290.

LCM(3003,3010) = 1291290

LCM of 3003 and 3010

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

LCM of:
and

Least Common Multiple of 3003 and 3010

LCM of 3003 and 3010 is 1291290

Least common multiple can be found by multiplying the highest exponent prime factors of 3003 and 3010. First we will calculate the prime factors of 3003 and 3010.

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 3010


2 3010
5 1505
7 301
43 43
1

Prime factors of 3010 are 2, 5, 7,43. Prime factorization of 3010 in exponential form is:

3010 = 21×51×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3003 and 3010.

LCM(3003,3010) = 21×31×51×71×111×131×431
LCM(3003,3010) = 1291290

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 3010

List of positive integer factors of 3010 that divides 3010 without a remainder.

1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505, 3010

Least Common Multiple of 3003 and 3010 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 3010, than apply into the LCM equation.

GCF(3003,3010) = 7
LCM(3003,3010) = ( 3003 × 3010) / 7
LCM(3003,3010) = 9039030 / 7
LCM(3003,3010) = 1291290

Properties of LCM 3003 and 3010

(i) The LCM of 3010 and 3003 is associative

LCM of 3003 and 3010 = LCM of 3010 and 3003

Related Least Common Multiples of 3003

Related Least Common Multiples of 3010

Frequently Asked Questions on LCM of 3003 and 3010

1. What is the LCM of 3003 and 3010?

Answer: LCM of 3003 and 3010 is 1291290.

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 3010?

Answer: Factors of 3010 are 1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505, 3010. There are 16 integers that are factors of 3010. The greatest factor of 3010 is 3010.

4. How to Find the LCM of 3003 and 3010?

Answer:

Least Common Multiple of 3003 and 3010 = 1291290

Step 1: Find the prime factorization of 3003

3003 = 3 x 7 x 11 x 13

Step 2: Find the prime factorization of 3010

3010 = 2 x 5 x 7 x 43

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

LCM = 1291290 = 2 x 3 x 5 x 7 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 3003 and 3010 is 1291290.