Least Common Multiple of 3004 and 3008

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 3008 the smallest integer that is 2259008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3008 is 2259008.

LCM(3004,3008) = 2259008

LCM of 3004 and 3008

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

LCM of:
and

Least Common Multiple of 3004 and 3008

LCM of 3004 and 3008 is 2259008

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3008. First we will calculate the prime factors of 3004 and 3008.

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 3008


2 3008
2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 3008 are 2,47. Prime factorization of 3008 in exponential form is:

3008 = 26×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3008.

LCM(3004,3008) = 26×471×7511
LCM(3004,3008) = 2259008

Factors of 3004

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

1, 2, 4, 751, 1502, 3004

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008

Least Common Multiple of 3004 and 3008 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 3008, than apply into the LCM equation.

GCF(3004,3008) = 4
LCM(3004,3008) = ( 3004 × 3008) / 4
LCM(3004,3008) = 9036032 / 4
LCM(3004,3008) = 2259008

Properties of LCM 3004 and 3008

(i) The LCM of 3008 and 3004 is associative

LCM of 3004 and 3008 = LCM of 3008 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3008

Frequently Asked Questions on LCM of 3004 and 3008

1. What is the LCM of 3004 and 3008?

Answer: LCM of 3004 and 3008 is 2259008.

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 3008?

Answer: Factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008. There are 14 integers that are factors of 3008. The greatest factor of 3008 is 3008.

4. How to Find the LCM of 3004 and 3008?

Answer:

Least Common Multiple of 3004 and 3008 = 2259008

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3008

3008 = 2 x 2 x 2 x 2 x 2 x 2 x 47

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

LCM = 2259008 = 2 x 2 x 2 x 2 x 2 x 2 x 47 x 751

Step 4: Therefore, the least common multiple of 3004 and 3008 is 2259008.