Least Common Multiple of 5002 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 5002 and 5006 the smallest integer that is 12520006 that is divisible by both numbers.

Least Common Multiple (LCM) of 5002 and 5006 is 12520006.

LCM(5002,5006) = 12520006

LCM of 5002 and 5006

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

LCM of:
and

Least Common Multiple of 5002 and 5006

LCM of 5002 and 5006 is 12520006

Least common multiple can be found by multiplying the highest exponent prime factors of 5002 and 5006. First we will calculate the prime factors of 5002 and 5006.

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

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 5002 and 5006.

LCM(5002,5006) = 21×411×611×25031
LCM(5002,5006) = 12520006

Factors of 5002

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

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

Factors of 5006

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

1, 2, 2503, 5006

Least Common Multiple of 5002 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 5002 and 5006, than apply into the LCM equation.

GCF(5002,5006) = 2
LCM(5002,5006) = ( 5002 × 5006) / 2
LCM(5002,5006) = 25040012 / 2
LCM(5002,5006) = 12520006

Properties of LCM 5002 and 5006

(i) The LCM of 5006 and 5002 is associative

LCM of 5002 and 5006 = LCM of 5006 and 5002

Related Least Common Multiples of 5002

Related Least Common Multiples of 5006

Frequently Asked Questions on LCM of 5002 and 5006

1. What is the LCM of 5002 and 5006?

Answer: LCM of 5002 and 5006 is 12520006.

2. 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.

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 5002 and 5006?

Answer:

Least Common Multiple of 5002 and 5006 = 12520006

Step 1: Find the prime factorization of 5002

5002 = 2 x 41 x 61

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 = 12520006 = 2 x 41 x 61 x 2503

Step 4: Therefore, the least common multiple of 5002 and 5006 is 12520006.