Least Common Multiple of 10002 and 10004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10002 and 10004 the smallest integer that is 50030004 that is divisible by both numbers.

Least Common Multiple (LCM) of 10002 and 10004 is 50030004.

LCM(10002,10004) = 50030004

LCM of 10002 and 10004

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

LCM of:
and

Least Common Multiple of 10002 and 10004

LCM of 10002 and 10004 is 50030004

Least common multiple can be found by multiplying the highest exponent prime factors of 10002 and 10004. First we will calculate the prime factors of 10002 and 10004.

Prime Factorization of 10002


2 10002
3 5001
1667 1667
1

Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:

10002 = 21×31×16671

Prime Factorization of 10004


2 10004
2 5002
41 2501
61 61
1

Prime factors of 10004 are 2, 41,61. Prime factorization of 10004 in exponential form is:

10004 = 22×411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 10002 and 10004.

LCM(10002,10004) = 22×31×411×611×16671
LCM(10002,10004) = 50030004

Factors of 10002

List of positive integer factors of 10002 that divides 10002 without a remainder.

1, 2, 3, 6, 1667, 3334, 5001, 10002

Factors of 10004

List of positive integer factors of 10004 that divides 10004 without a remainder.

1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004

Least Common Multiple of 10002 and 10004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10002 and 10004, than apply into the LCM equation.

GCF(10002,10004) = 2
LCM(10002,10004) = ( 10002 × 10004) / 2
LCM(10002,10004) = 100060008 / 2
LCM(10002,10004) = 50030004

Properties of LCM 10002 and 10004

(i) The LCM of 10004 and 10002 is associative

LCM of 10002 and 10004 = LCM of 10004 and 10002

Related Least Common Multiples of 10002

Related Least Common Multiples of 10004

Frequently Asked Questions on LCM of 10002 and 10004

1. What is the LCM of 10002 and 10004?

Answer: LCM of 10002 and 10004 is 50030004.

2. What are the Factors of 10002?

Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.

3. What are the Factors of 10004?

Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.

4. How to Find the LCM of 10002 and 10004?

Answer:

Least Common Multiple of 10002 and 10004 = 50030004

Step 1: Find the prime factorization of 10002

10002 = 2 x 3 x 1667

Step 2: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

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

LCM = 50030004 = 2 x 2 x 3 x 41 x 61 x 1667

Step 4: Therefore, the least common multiple of 10002 and 10004 is 50030004.