Least Common Multiple of 5002 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 5002 and 5010 the smallest integer that is 12530010 that is divisible by both numbers.

Least Common Multiple (LCM) of 5002 and 5010 is 12530010.

LCM(5002,5010) = 12530010

LCM of 5002 and 5010

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

LCM of:
and

Least Common Multiple of 5002 and 5010

LCM of 5002 and 5010 is 12530010

Least common multiple can be found by multiplying the highest exponent prime factors of 5002 and 5010. First we will calculate the prime factors of 5002 and 5010.

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 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 5002 and 5010.

LCM(5002,5010) = 21×31×51×411×611×1671
LCM(5002,5010) = 12530010

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 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 5002 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 5002 and 5010, than apply into the LCM equation.

GCF(5002,5010) = 2
LCM(5002,5010) = ( 5002 × 5010) / 2
LCM(5002,5010) = 25060020 / 2
LCM(5002,5010) = 12530010

Properties of LCM 5002 and 5010

(i) The LCM of 5010 and 5002 is associative

LCM of 5002 and 5010 = LCM of 5010 and 5002

Related Least Common Multiples of 5002

Related Least Common Multiples of 5010

Frequently Asked Questions on LCM of 5002 and 5010

1. What is the LCM of 5002 and 5010?

Answer: LCM of 5002 and 5010 is 12530010.

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 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 5002 and 5010?

Answer:

Least Common Multiple of 5002 and 5010 = 12530010

Step 1: Find the prime factorization of 5002

5002 = 2 x 41 x 61

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 = 12530010 = 2 x 3 x 5 x 41 x 61 x 167

Step 4: Therefore, the least common multiple of 5002 and 5010 is 12530010.