Least Common Multiple of 3004 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 3004 and 3010 the smallest integer that is 4521020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3010 is 4521020.

LCM(3004,3010) = 4521020

LCM of 3004 and 3010

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

LCM of:
and

Least Common Multiple of 3004 and 3010

LCM of 3004 and 3010 is 4521020

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3010. First we will calculate the prime factors of 3004 and 3010.

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

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 3004 and 3010.

LCM(3004,3010) = 22×51×71×431×7511
LCM(3004,3010) = 4521020

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1, 2, 4, 751, 1502, 3004

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 3004 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 3004 and 3010, than apply into the LCM equation.

GCF(3004,3010) = 2
LCM(3004,3010) = ( 3004 × 3010) / 2
LCM(3004,3010) = 9042040 / 2
LCM(3004,3010) = 4521020

Properties of LCM 3004 and 3010

(i) The LCM of 3010 and 3004 is associative

LCM of 3004 and 3010 = LCM of 3010 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3010

Frequently Asked Questions on LCM of 3004 and 3010

1. What is the LCM of 3004 and 3010?

Answer: LCM of 3004 and 3010 is 4521020.

2. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

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 3004 and 3010?

Answer:

Least Common Multiple of 3004 and 3010 = 4521020

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

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 = 4521020 = 2 x 2 x 5 x 7 x 43 x 751

Step 4: Therefore, the least common multiple of 3004 and 3010 is 4521020.