Least Common Multiple of 5005 and 5008

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 5008 the smallest integer that is 25065040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5005 and 5008 is 25065040.

LCM(5005,5008) = 25065040

LCM of 5005 and 5008

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

LCM of:
and

Least Common Multiple of 5005 and 5008

LCM of 5005 and 5008 is 25065040

Least common multiple can be found by multiplying the highest exponent prime factors of 5005 and 5008. First we will calculate the prime factors of 5005 and 5008.

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 5008


2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 5008 are 2,313. Prime factorization of 5008 in exponential form is:

5008 = 24×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5005 and 5008.

LCM(5005,5008) = 24×51×71×111×131×3131
LCM(5005,5008) = 25065040

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 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008

Least Common Multiple of 5005 and 5008 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 5008, than apply into the LCM equation.

GCF(5005,5008) = 1
LCM(5005,5008) = ( 5005 × 5008) / 1
LCM(5005,5008) = 25065040 / 1
LCM(5005,5008) = 25065040

Properties of LCM 5005 and 5008

(i) The LCM of 5008 and 5005 is associative

LCM of 5005 and 5008 = LCM of 5008 and 5005

Related Least Common Multiples of 5005

Related Least Common Multiples of 5008

Frequently Asked Questions on LCM of 5005 and 5008

1. What is the LCM of 5005 and 5008?

Answer: LCM of 5005 and 5008 is 25065040.

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 5008?

Answer: Factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008. There are 10 integers that are factors of 5008. The greatest factor of 5008 is 5008.

4. How to Find the LCM of 5005 and 5008?

Answer:

Least Common Multiple of 5005 and 5008 = 25065040

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5008

5008 = 2 x 2 x 2 x 2 x 313

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

LCM = 25065040 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 13 x 313

Step 4: Therefore, the least common multiple of 5005 and 5008 is 25065040.