Least Common Multiple of 5005 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 5005 and 5009 the smallest integer that is 25070045 that is divisible by both numbers.

Least Common Multiple (LCM) of 5005 and 5009 is 25070045.

LCM(5005,5009) = 25070045

LCM of 5005 and 5009

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

LCM of:
and

Least Common Multiple of 5005 and 5009

LCM of 5005 and 5009 is 25070045

Least common multiple can be found by multiplying the highest exponent prime factors of 5005 and 5009. First we will calculate the prime factors of 5005 and 5009.

Prime Factorization of 5005


5 5005
7 1001
11 143
13 13
1

Prime factors of 5005 are 5, 7, 11,13. Prime factorization of 5005 in exponential form is:

5005 = 51×71×111×131

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 5005 and 5009.

LCM(5005,5009) = 51×71×111×131×50091
LCM(5005,5009) = 25070045

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

Factors of 5009

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

1, 5009

Least Common Multiple of 5005 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 5005 and 5009, than apply into the LCM equation.

GCF(5005,5009) = 1
LCM(5005,5009) = ( 5005 × 5009) / 1
LCM(5005,5009) = 25070045 / 1
LCM(5005,5009) = 25070045

Properties of LCM 5005 and 5009

(i) The LCM of 5009 and 5005 is associative

LCM of 5005 and 5009 = LCM of 5009 and 5005

Related Least Common Multiples of 5005

Related Least Common Multiples of 5009

Frequently Asked Questions on LCM of 5005 and 5009

1. What is the LCM of 5005 and 5009?

Answer: LCM of 5005 and 5009 is 25070045.

2. What are the Factors of 5005?

Answer: Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. There are 16 integers that are factors of 5005. The greatest factor of 5005 is 5005.

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 5005 and 5009?

Answer:

Least Common Multiple of 5005 and 5009 = 25070045

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

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 = 25070045 = 5 x 7 x 11 x 13 x 5009

Step 4: Therefore, the least common multiple of 5005 and 5009 is 25070045.