Least Common Multiple of 5004 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 5004 and 5009 the smallest integer that is 25065036 that is divisible by both numbers.

Least Common Multiple (LCM) of 5004 and 5009 is 25065036.

LCM(5004,5009) = 25065036

LCM of 5004 and 5009

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

LCM of:
and

Least Common Multiple of 5004 and 5009

LCM of 5004 and 5009 is 25065036

Least common multiple can be found by multiplying the highest exponent prime factors of 5004 and 5009. First we will calculate the prime factors of 5004 and 5009.

Prime Factorization of 5004


2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 5004 are 2, 3,139. Prime factorization of 5004 in exponential form is:

5004 = 22×32×1391

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 5004 and 5009.

LCM(5004,5009) = 22×32×1391×50091
LCM(5004,5009) = 25065036

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004

Factors of 5009

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

1, 5009

Least Common Multiple of 5004 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 5004 and 5009, than apply into the LCM equation.

GCF(5004,5009) = 1
LCM(5004,5009) = ( 5004 × 5009) / 1
LCM(5004,5009) = 25065036 / 1
LCM(5004,5009) = 25065036

Properties of LCM 5004 and 5009

(i) The LCM of 5009 and 5004 is associative

LCM of 5004 and 5009 = LCM of 5009 and 5004

Related Least Common Multiples of 5004

Related Least Common Multiples of 5009

Frequently Asked Questions on LCM of 5004 and 5009

1. What is the LCM of 5004 and 5009?

Answer: LCM of 5004 and 5009 is 25065036.

2. What are the Factors of 5004?

Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.

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 5004 and 5009?

Answer:

Least Common Multiple of 5004 and 5009 = 25065036

Step 1: Find the prime factorization of 5004

5004 = 2 x 2 x 3 x 3 x 139

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 = 25065036 = 2 x 2 x 3 x 3 x 139 x 5009

Step 4: Therefore, the least common multiple of 5004 and 5009 is 25065036.