Least Common Multiple of 5000 and 5004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5000 and 5004 the smallest integer that is 6255000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5000 and 5004 is 6255000.

LCM(5000,5004) = 6255000

LCM of 5000 and 5004

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

LCM of:
and

Least Common Multiple of 5000 and 5004

LCM of 5000 and 5004 is 6255000

Least common multiple can be found by multiplying the highest exponent prime factors of 5000 and 5004. First we will calculate the prime factors of 5000 and 5004.

Prime Factorization of 5000


2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 5000 are 2,5. Prime factorization of 5000 in exponential form is:

5000 = 23×54

Prime Factorization of 5004


2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 5004 are 2, 3,139. Prime factorization of 5004 in exponential form is:

5004 = 22×32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5000 and 5004.

LCM(5000,5004) = 23×32×54×1391
LCM(5000,5004) = 6255000

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004

Least Common Multiple of 5000 and 5004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5000 and 5004, than apply into the LCM equation.

GCF(5000,5004) = 4
LCM(5000,5004) = ( 5000 × 5004) / 4
LCM(5000,5004) = 25020000 / 4
LCM(5000,5004) = 6255000

Properties of LCM 5000 and 5004

(i) The LCM of 5004 and 5000 is associative

LCM of 5000 and 5004 = LCM of 5004 and 5000

Related Least Common Multiples of 5000

Related Least Common Multiples of 5004

Frequently Asked Questions on LCM of 5000 and 5004

1. What is the LCM of 5000 and 5004?

Answer: LCM of 5000 and 5004 is 6255000.

2. What are the Factors of 5000?

Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. There are 20 integers that are factors of 5000. The greatest factor of 5000 is 5000.

3. What are the Factors of 5004?

Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.

4. How to Find the LCM of 5000 and 5004?

Answer:

Least Common Multiple of 5000 and 5004 = 6255000

Step 1: Find the prime factorization of 5000

5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 5004

5004 = 2 x 2 x 3 x 3 x 139

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

LCM = 6255000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 139

Step 4: Therefore, the least common multiple of 5000 and 5004 is 6255000.