Least Common Multiple of 5000 and 5003

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 5003 the smallest integer that is 25015000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5000 and 5003 is 25015000.

LCM(5000,5003) = 25015000

LCM of 5000 and 5003

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

LCM of:
and

Least Common Multiple of 5000 and 5003

LCM of 5000 and 5003 is 25015000

Least common multiple can be found by multiplying the highest exponent prime factors of 5000 and 5003. First we will calculate the prime factors of 5000 and 5003.

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 5003


5003 5003
1

Prime factors of 5003 are 5003. Prime factorization of 5003 in exponential form is:

5003 = 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 5000 and 5003.

LCM(5000,5003) = 23×54×50031
LCM(5000,5003) = 25015000

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 5003

List of positive integer factors of 5003 that divides 5003 without a remainder.

1, 5003

Least Common Multiple of 5000 and 5003 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 5003, than apply into the LCM equation.

GCF(5000,5003) = 1
LCM(5000,5003) = ( 5000 × 5003) / 1
LCM(5000,5003) = 25015000 / 1
LCM(5000,5003) = 25015000

Properties of LCM 5000 and 5003

(i) The LCM of 5003 and 5000 is associative

LCM of 5000 and 5003 = LCM of 5003 and 5000

Related Least Common Multiples of 5000

Related Least Common Multiples of 5003

Frequently Asked Questions on LCM of 5000 and 5003

1. What is the LCM of 5000 and 5003?

Answer: LCM of 5000 and 5003 is 25015000.

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 5003?

Answer: Factors of 5003 are 1, 5003. There are 2 integers that are factors of 5003. The greatest factor of 5003 is 5003.

4. How to Find the LCM of 5000 and 5003?

Answer:

Least Common Multiple of 5000 and 5003 = 25015000

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 5003

5003 = 5003

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

LCM = 25015000 = 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5003

Step 4: Therefore, the least common multiple of 5000 and 5003 is 25015000.