Least Common Multiple of 9004 and 9010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9004 and 9010 the smallest integer that is 40563020 that is divisible by both numbers.

Least Common Multiple (LCM) of 9004 and 9010 is 40563020.

LCM(9004,9010) = 40563020

LCM of 9004 and 9010

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

LCM of:
and

Least Common Multiple of 9004 and 9010

LCM of 9004 and 9010 is 40563020

Least common multiple can be found by multiplying the highest exponent prime factors of 9004 and 9010. First we will calculate the prime factors of 9004 and 9010.

Prime Factorization of 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

Prime Factorization of 9010


2 9010
5 4505
17 901
53 53
1

Prime factors of 9010 are 2, 5, 17,53. Prime factorization of 9010 in exponential form is:

9010 = 21×51×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9004 and 9010.

LCM(9004,9010) = 22×51×171×531×22511
LCM(9004,9010) = 40563020

Factors of 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1, 2, 4, 2251, 4502, 9004

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010

Least Common Multiple of 9004 and 9010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9004 and 9010, than apply into the LCM equation.

GCF(9004,9010) = 2
LCM(9004,9010) = ( 9004 × 9010) / 2
LCM(9004,9010) = 81126040 / 2
LCM(9004,9010) = 40563020

Properties of LCM 9004 and 9010

(i) The LCM of 9010 and 9004 is associative

LCM of 9004 and 9010 = LCM of 9010 and 9004

Related Least Common Multiples of 9004

Related Least Common Multiples of 9010

Frequently Asked Questions on LCM of 9004 and 9010

1. What is the LCM of 9004 and 9010?

Answer: LCM of 9004 and 9010 is 40563020.

2. What are the Factors of 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

3. What are the Factors of 9010?

Answer: Factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010. There are 16 integers that are factors of 9010. The greatest factor of 9010 is 9010.

4. How to Find the LCM of 9004 and 9010?

Answer:

Least Common Multiple of 9004 and 9010 = 40563020

Step 1: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

Step 2: Find the prime factorization of 9010

9010 = 2 x 5 x 17 x 53

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

LCM = 40563020 = 2 x 2 x 5 x 17 x 53 x 2251

Step 4: Therefore, the least common multiple of 9004 and 9010 is 40563020.