Least Common Multiple of 5003 and 5006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5003 and 5006 the smallest integer that is 25045018 that is divisible by both numbers.

Least Common Multiple (LCM) of 5003 and 5006 is 25045018.

LCM(5003,5006) = 25045018

LCM of 5003 and 5006

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

LCM of:
and

Least Common Multiple of 5003 and 5006

LCM of 5003 and 5006 is 25045018

Least common multiple can be found by multiplying the highest exponent prime factors of 5003 and 5006. First we will calculate the prime factors of 5003 and 5006.

Prime Factorization of 5003


5003 5003
1

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

5003 = 50031

Prime Factorization of 5006


2 5006
2503 2503
1

Prime factors of 5006 are 2,2503. Prime factorization of 5006 in exponential form is:

5006 = 21×25031

Now multiplying the highest exponent prime factors to calculate the LCM of 5003 and 5006.

LCM(5003,5006) = 21×25031×50031
LCM(5003,5006) = 25045018

Factors of 5003

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

1, 5003

Factors of 5006

List of positive integer factors of 5006 that divides 5006 without a remainder.

1, 2, 2503, 5006

Least Common Multiple of 5003 and 5006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5003 and 5006, than apply into the LCM equation.

GCF(5003,5006) = 1
LCM(5003,5006) = ( 5003 × 5006) / 1
LCM(5003,5006) = 25045018 / 1
LCM(5003,5006) = 25045018

Properties of LCM 5003 and 5006

(i) The LCM of 5006 and 5003 is associative

LCM of 5003 and 5006 = LCM of 5006 and 5003

Related Least Common Multiples of 5003

Related Least Common Multiples of 5006

Frequently Asked Questions on LCM of 5003 and 5006

1. What is the LCM of 5003 and 5006?

Answer: LCM of 5003 and 5006 is 25045018.

2. 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.

3. What are the Factors of 5006?

Answer: Factors of 5006 are 1, 2, 2503, 5006. There are 4 integers that are factors of 5006. The greatest factor of 5006 is 5006.

4. How to Find the LCM of 5003 and 5006?

Answer:

Least Common Multiple of 5003 and 5006 = 25045018

Step 1: Find the prime factorization of 5003

5003 = 5003

Step 2: Find the prime factorization of 5006

5006 = 2 x 2503

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

LCM = 25045018 = 2 x 2503 x 5003

Step 4: Therefore, the least common multiple of 5003 and 5006 is 25045018.