Least Common Multiple of 10004 and 10012

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 10012 the smallest integer that is 25040012 that is divisible by both numbers.

Least Common Multiple (LCM) of 10004 and 10012 is 25040012.

LCM(10004,10012) = 25040012

LCM of 10004 and 10012

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

LCM of:
and

Least Common Multiple of 10004 and 10012

LCM of 10004 and 10012 is 25040012

Least common multiple can be found by multiplying the highest exponent prime factors of 10004 and 10012. First we will calculate the prime factors of 10004 and 10012.

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 10012


2 10012
2 5006
2503 2503
1

Prime factors of 10012 are 2,2503. Prime factorization of 10012 in exponential form is:

10012 = 22×25031

Now multiplying the highest exponent prime factors to calculate the LCM of 10004 and 10012.

LCM(10004,10012) = 22×411×611×25031
LCM(10004,10012) = 25040012

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 10012

List of positive integer factors of 10012 that divides 10012 without a remainder.

1, 2, 4, 2503, 5006, 10012

Least Common Multiple of 10004 and 10012 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 10012, than apply into the LCM equation.

GCF(10004,10012) = 4
LCM(10004,10012) = ( 10004 × 10012) / 4
LCM(10004,10012) = 100160048 / 4
LCM(10004,10012) = 25040012

Properties of LCM 10004 and 10012

(i) The LCM of 10012 and 10004 is associative

LCM of 10004 and 10012 = LCM of 10012 and 10004

Related Least Common Multiples of 10004

Related Least Common Multiples of 10012

Frequently Asked Questions on LCM of 10004 and 10012

1. What is the LCM of 10004 and 10012?

Answer: LCM of 10004 and 10012 is 25040012.

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 10012?

Answer: Factors of 10012 are 1, 2, 4, 2503, 5006, 10012. There are 6 integers that are factors of 10012. The greatest factor of 10012 is 10012.

4. How to Find the LCM of 10004 and 10012?

Answer:

Least Common Multiple of 10004 and 10012 = 25040012

Step 1: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 10012

10012 = 2 x 2 x 2503

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

LCM = 25040012 = 2 x 2 x 41 x 61 x 2503

Step 4: Therefore, the least common multiple of 10004 and 10012 is 25040012.