Least Common Multiple of 5002 and 5009

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 5009 the smallest integer that is 25055018 that is divisible by both numbers.

Least Common Multiple (LCM) of 5002 and 5009 is 25055018.

LCM(5002,5009) = 25055018

LCM of 5002 and 5009

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

LCM of:
and

Least Common Multiple of 5002 and 5009

LCM of 5002 and 5009 is 25055018

Least common multiple can be found by multiplying the highest exponent prime factors of 5002 and 5009. First we will calculate the prime factors of 5002 and 5009.

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 5009


5009 5009
1

Prime factors of 5009 are 5009. Prime factorization of 5009 in exponential form is:

5009 = 50091

Now multiplying the highest exponent prime factors to calculate the LCM of 5002 and 5009.

LCM(5002,5009) = 21×411×611×50091
LCM(5002,5009) = 25055018

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 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

1, 5009

Least Common Multiple of 5002 and 5009 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 5009, than apply into the LCM equation.

GCF(5002,5009) = 1
LCM(5002,5009) = ( 5002 × 5009) / 1
LCM(5002,5009) = 25055018 / 1
LCM(5002,5009) = 25055018

Properties of LCM 5002 and 5009

(i) The LCM of 5009 and 5002 is associative

LCM of 5002 and 5009 = LCM of 5009 and 5002

Related Least Common Multiples of 5002

Related Least Common Multiples of 5009

Frequently Asked Questions on LCM of 5002 and 5009

1. What is the LCM of 5002 and 5009?

Answer: LCM of 5002 and 5009 is 25055018.

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 5009?

Answer: Factors of 5009 are 1, 5009. There are 2 integers that are factors of 5009. The greatest factor of 5009 is 5009.

4. How to Find the LCM of 5002 and 5009?

Answer:

Least Common Multiple of 5002 and 5009 = 25055018

Step 1: Find the prime factorization of 5002

5002 = 2 x 41 x 61

Step 2: Find the prime factorization of 5009

5009 = 5009

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

LCM = 25055018 = 2 x 41 x 61 x 5009

Step 4: Therefore, the least common multiple of 5002 and 5009 is 25055018.