Least Common Multiple of 10004 and 10006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10004 and 10006 the smallest integer that is 50050012 that is divisible by both numbers.

Least Common Multiple (LCM) of 10004 and 10006 is 50050012.

LCM(10004,10006) = 50050012

LCM of 10004 and 10006

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

LCM of:
and

Least Common Multiple of 10004 and 10006

LCM of 10004 and 10006 is 50050012

Least common multiple can be found by multiplying the highest exponent prime factors of 10004 and 10006. First we will calculate the prime factors of 10004 and 10006.

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

Prime Factorization of 10006


2 10006
5003 5003
1

Prime factors of 10006 are 2,5003. Prime factorization of 10006 in exponential form is:

10006 = 21×50031

Now multiplying the highest exponent prime factors to calculate the LCM of 10004 and 10006.

LCM(10004,10006) = 22×411×611×50031
LCM(10004,10006) = 50050012

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

Factors of 10006

List of positive integer factors of 10006 that divides 10006 without a remainder.

1, 2, 5003, 10006

Least Common Multiple of 10004 and 10006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10004 and 10006, than apply into the LCM equation.

GCF(10004,10006) = 2
LCM(10004,10006) = ( 10004 × 10006) / 2
LCM(10004,10006) = 100100024 / 2
LCM(10004,10006) = 50050012

Properties of LCM 10004 and 10006

(i) The LCM of 10006 and 10004 is associative

LCM of 10004 and 10006 = LCM of 10006 and 10004

Related Least Common Multiples of 10004

Related Least Common Multiples of 10006

Frequently Asked Questions on LCM of 10004 and 10006

1. What is the LCM of 10004 and 10006?

Answer: LCM of 10004 and 10006 is 50050012.

2. 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.

3. What are the Factors of 10006?

Answer: Factors of 10006 are 1, 2, 5003, 10006. There are 4 integers that are factors of 10006. The greatest factor of 10006 is 10006.

4. How to Find the LCM of 10004 and 10006?

Answer:

Least Common Multiple of 10004 and 10006 = 50050012

Step 1: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 10006

10006 = 2 x 5003

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

LCM = 50050012 = 2 x 2 x 41 x 61 x 5003

Step 4: Therefore, the least common multiple of 10004 and 10006 is 50050012.