Least Common Multiple of 9000 and 9004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9000 and 9004 the smallest integer that is 20259000 that is divisible by both numbers.

Least Common Multiple (LCM) of 9000 and 9004 is 20259000.

LCM(9000,9004) = 20259000

LCM of 9000 and 9004

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

LCM of:
and

Least Common Multiple of 9000 and 9004

LCM of 9000 and 9004 is 20259000

Least common multiple can be found by multiplying the highest exponent prime factors of 9000 and 9004. First we will calculate the prime factors of 9000 and 9004.

Prime Factorization of 9000


2 9000
2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 9000 are 2, 3,5. Prime factorization of 9000 in exponential form is:

9000 = 23×32×53

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9000 and 9004.

LCM(9000,9004) = 23×32×53×22511
LCM(9000,9004) = 20259000

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000

Factors of 9004

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

1, 2, 4, 2251, 4502, 9004

Least Common Multiple of 9000 and 9004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9000 and 9004, than apply into the LCM equation.

GCF(9000,9004) = 4
LCM(9000,9004) = ( 9000 × 9004) / 4
LCM(9000,9004) = 81036000 / 4
LCM(9000,9004) = 20259000

Properties of LCM 9000 and 9004

(i) The LCM of 9004 and 9000 is associative

LCM of 9000 and 9004 = LCM of 9004 and 9000

Related Least Common Multiples of 9000

Related Least Common Multiples of 9004

Frequently Asked Questions on LCM of 9000 and 9004

1. What is the LCM of 9000 and 9004?

Answer: LCM of 9000 and 9004 is 20259000.

2. What are the Factors of 9000?

Answer: Factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. There are 48 integers that are factors of 9000. The greatest factor of 9000 is 9000.

3. 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.

4. How to Find the LCM of 9000 and 9004?

Answer:

Least Common Multiple of 9000 and 9004 = 20259000

Step 1: Find the prime factorization of 9000

9000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

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

LCM = 20259000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 2251

Step 4: Therefore, the least common multiple of 9000 and 9004 is 20259000.