Least Common Multiple of 2997 and 3004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2997 and 3004 the smallest integer that is 9002988 that is divisible by both numbers.

Least Common Multiple (LCM) of 2997 and 3004 is 9002988.

LCM(2997,3004) = 9002988

LCM of 2997 and 3004

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

LCM of:
and

Least Common Multiple of 2997 and 3004

LCM of 2997 and 3004 is 9002988

Least common multiple can be found by multiplying the highest exponent prime factors of 2997 and 3004. First we will calculate the prime factors of 2997 and 3004.

Prime Factorization of 2997


3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:

2997 = 34×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2997 and 3004.

LCM(2997,3004) = 22×34×371×7511
LCM(2997,3004) = 9002988

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1, 3, 9, 27, 37, 81, 111, 333, 999, 2997

Factors of 3004

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

1, 2, 4, 751, 1502, 3004

Least Common Multiple of 2997 and 3004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2997 and 3004, than apply into the LCM equation.

GCF(2997,3004) = 1
LCM(2997,3004) = ( 2997 × 3004) / 1
LCM(2997,3004) = 9002988 / 1
LCM(2997,3004) = 9002988

Properties of LCM 2997 and 3004

(i) The LCM of 3004 and 2997 is associative

LCM of 2997 and 3004 = LCM of 3004 and 2997

Related Least Common Multiples of 2997

Related Least Common Multiples of 3004

Frequently Asked Questions on LCM of 2997 and 3004

1. What is the LCM of 2997 and 3004?

Answer: LCM of 2997 and 3004 is 9002988.

2. What are the Factors of 2997?

Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.

3. 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.

4. How to Find the LCM of 2997 and 3004?

Answer:

Least Common Multiple of 2997 and 3004 = 9002988

Step 1: Find the prime factorization of 2997

2997 = 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 3004

3004 = 2 x 2 x 751

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

LCM = 9002988 = 2 x 2 x 3 x 3 x 3 x 3 x 37 x 751

Step 4: Therefore, the least common multiple of 2997 and 3004 is 9002988.