Least Common Multiple of 3004 and 3012

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 3012 the smallest integer that is 2262012 that is divisible by both numbers.

Least Common Multiple (LCM) of 3004 and 3012 is 2262012.

LCM(3004,3012) = 2262012

LCM of 3004 and 3012

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

LCM of:
and

Least Common Multiple of 3004 and 3012

LCM of 3004 and 3012 is 2262012

Least common multiple can be found by multiplying the highest exponent prime factors of 3004 and 3012. First we will calculate the prime factors of 3004 and 3012.

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 3012


2 3012
2 1506
3 753
251 251
1

Prime factors of 3012 are 2, 3,251. Prime factorization of 3012 in exponential form is:

3012 = 22×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 3004 and 3012.

LCM(3004,3012) = 22×31×2511×7511
LCM(3004,3012) = 2262012

Factors of 3004

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

1, 2, 4, 751, 1502, 3004

Factors of 3012

List of positive integer factors of 3012 that divides 3012 without a remainder.

1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012

Least Common Multiple of 3004 and 3012 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 3012, than apply into the LCM equation.

GCF(3004,3012) = 4
LCM(3004,3012) = ( 3004 × 3012) / 4
LCM(3004,3012) = 9048048 / 4
LCM(3004,3012) = 2262012

Properties of LCM 3004 and 3012

(i) The LCM of 3012 and 3004 is associative

LCM of 3004 and 3012 = LCM of 3012 and 3004

Related Least Common Multiples of 3004

Related Least Common Multiples of 3012

Frequently Asked Questions on LCM of 3004 and 3012

1. What is the LCM of 3004 and 3012?

Answer: LCM of 3004 and 3012 is 2262012.

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 3012?

Answer: Factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012. There are 12 integers that are factors of 3012. The greatest factor of 3012 is 3012.

4. How to Find the LCM of 3004 and 3012?

Answer:

Least Common Multiple of 3004 and 3012 = 2262012

Step 1: Find the prime factorization of 3004

3004 = 2 x 2 x 751

Step 2: Find the prime factorization of 3012

3012 = 2 x 2 x 3 x 251

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

LCM = 2262012 = 2 x 2 x 3 x 251 x 751

Step 4: Therefore, the least common multiple of 3004 and 3012 is 2262012.