Least Common Multiple of 3004 and 3006

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 3006 the smallest integer that is 4515012 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3006 is 4515012.

LCM(3004,3006) = 4515012

LCM of 3004 and 3006

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

LCM of:
and

Least Common Multiple of 3004 and 3006

LCM of 3004 and 3006 is 4515012

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3006. First we will calculate the prime factors of 3004 and 3006.

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 3006


2 3006
3 1503
3 501
167 167
1

Prime factors of 3006 are 2, 3,167. Prime factorization of 3006 in exponential form is:

3006 = 21×32×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3006.

LCM(3004,3006) = 22×32×1671×7511
LCM(3004,3006) = 4515012

Factors of 3004

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

1, 2, 4, 751, 1502, 3004

Factors of 3006

List of positive integer factors of 3006 that divides 3006 without a remainder.

1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006

Least Common Multiple of 3004 and 3006 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 3006, than apply into the LCM equation.

GCF(3004,3006) = 2
LCM(3004,3006) = ( 3004 × 3006) / 2
LCM(3004,3006) = 9030024 / 2
LCM(3004,3006) = 4515012

Properties of LCM 3004 and 3006

(i) The LCM of 3006 and 3004 is associative

LCM of 3004 and 3006 = LCM of 3006 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3006

Frequently Asked Questions on LCM of 3004 and 3006

1. What is the LCM of 3004 and 3006?

Answer: LCM of 3004 and 3006 is 4515012.

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 3006?

Answer: Factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006. There are 12 integers that are factors of 3006. The greatest factor of 3006 is 3006.

4. How to Find the LCM of 3004 and 3006?

Answer:

Least Common Multiple of 3004 and 3006 = 4515012

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3006

3006 = 2 x 3 x 3 x 167

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

LCM = 4515012 = 2 x 2 x 3 x 3 x 167 x 751

Step 4: Therefore, the least common multiple of 3004 and 3006 is 4515012.