Least Common Multiple of 5000 and 5007

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 5007 the smallest integer that is 25035000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5000 and 5007 is 25035000.

LCM(5000,5007) = 25035000

LCM of 5000 and 5007

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

LCM of:
and

Least Common Multiple of 5000 and 5007

LCM of 5000 and 5007 is 25035000

Least common multiple can be found by multiplying the highest exponent prime factors of 5000 and 5007. First we will calculate the prime factors of 5000 and 5007.

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 5007


3 5007
1669 1669
1

Prime factors of 5007 are 3,1669. Prime factorization of 5007 in exponential form is:

5007 = 31×16691

Now multiplying the highest exponent prime factors to calculate the LCM of 5000 and 5007.

LCM(5000,5007) = 23×31×54×16691
LCM(5000,5007) = 25035000

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 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1, 3, 1669, 5007

Least Common Multiple of 5000 and 5007 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 5007, than apply into the LCM equation.

GCF(5000,5007) = 1
LCM(5000,5007) = ( 5000 × 5007) / 1
LCM(5000,5007) = 25035000 / 1
LCM(5000,5007) = 25035000

Properties of LCM 5000 and 5007

(i) The LCM of 5007 and 5000 is associative

LCM of 5000 and 5007 = LCM of 5007 and 5000

Related Least Common Multiples of 5000

Related Least Common Multiples of 5007

Frequently Asked Questions on LCM of 5000 and 5007

1. What is the LCM of 5000 and 5007?

Answer: LCM of 5000 and 5007 is 25035000.

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 5007?

Answer: Factors of 5007 are 1, 3, 1669, 5007. There are 4 integers that are factors of 5007. The greatest factor of 5007 is 5007.

4. How to Find the LCM of 5000 and 5007?

Answer:

Least Common Multiple of 5000 and 5007 = 25035000

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 5007

5007 = 3 x 1669

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

LCM = 25035000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 1669

Step 4: Therefore, the least common multiple of 5000 and 5007 is 25035000.