Least Common Multiple of 5005 and 5010

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 5010 the smallest integer that is 5015010 that is divisible by both numbers.

Least Common Multiple (LCM) of 5005 and 5010 is 5015010.

LCM(5005,5010) = 5015010

LCM of 5005 and 5010

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

LCM of:
and

Least Common Multiple of 5005 and 5010

LCM of 5005 and 5010 is 5015010

Least common multiple can be found by multiplying the highest exponent prime factors of 5005 and 5010. First we will calculate the prime factors of 5005 and 5010.

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 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2, 3, 5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5005 and 5010.

LCM(5005,5010) = 21×31×51×71×111×131×1671
LCM(5005,5010) = 5015010

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 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

Least Common Multiple of 5005 and 5010 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 5010, than apply into the LCM equation.

GCF(5005,5010) = 5
LCM(5005,5010) = ( 5005 × 5010) / 5
LCM(5005,5010) = 25075050 / 5
LCM(5005,5010) = 5015010

Properties of LCM 5005 and 5010

(i) The LCM of 5010 and 5005 is associative

LCM of 5005 and 5010 = LCM of 5010 and 5005

Related Least Common Multiples of 5005

Related Least Common Multiples of 5010

Frequently Asked Questions on LCM of 5005 and 5010

1. What is the LCM of 5005 and 5010?

Answer: LCM of 5005 and 5010 is 5015010.

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 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

4. How to Find the LCM of 5005 and 5010?

Answer:

Least Common Multiple of 5005 and 5010 = 5015010

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

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

LCM = 5015010 = 2 x 3 x 5 x 7 x 11 x 13 x 167

Step 4: Therefore, the least common multiple of 5005 and 5010 is 5015010.