Least Common Multiple of 5000 and 5002

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 5002 the smallest integer that is 12505000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5000 and 5002 is 12505000.

LCM(5000,5002) = 12505000

LCM of 5000 and 5002

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

LCM of:
and

Least Common Multiple of 5000 and 5002

LCM of 5000 and 5002 is 12505000

Least common multiple can be found by multiplying the highest exponent prime factors of 5000 and 5002. First we will calculate the prime factors of 5000 and 5002.

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 5002


2 5002
41 2501
61 61
1

Prime factors of 5002 are 2, 41,61. Prime factorization of 5002 in exponential form is:

5002 = 21×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5000 and 5002.

LCM(5000,5002) = 23×54×411×611
LCM(5000,5002) = 12505000

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 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1, 2, 41, 61, 82, 122, 2501, 5002

Least Common Multiple of 5000 and 5002 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 5002, than apply into the LCM equation.

GCF(5000,5002) = 2
LCM(5000,5002) = ( 5000 × 5002) / 2
LCM(5000,5002) = 25010000 / 2
LCM(5000,5002) = 12505000

Properties of LCM 5000 and 5002

(i) The LCM of 5002 and 5000 is associative

LCM of 5000 and 5002 = LCM of 5002 and 5000

Related Least Common Multiples of 5000

Related Least Common Multiples of 5002

Frequently Asked Questions on LCM of 5000 and 5002

1. What is the LCM of 5000 and 5002?

Answer: LCM of 5000 and 5002 is 12505000.

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 5002?

Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.

4. How to Find the LCM of 5000 and 5002?

Answer:

Least Common Multiple of 5000 and 5002 = 12505000

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 5002

5002 = 2 x 41 x 61

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

LCM = 12505000 = 2 x 2 x 2 x 5 x 5 x 5 x 5 x 41 x 61

Step 4: Therefore, the least common multiple of 5000 and 5002 is 12505000.