Least Common Multiple of 10004 and 10011

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 10011 the smallest integer that is 100150044 that is divisible by both numbers.

Least Common Multiple (LCM) of 10004 and 10011 is 100150044.

LCM(10004,10011) = 100150044

LCM of 10004 and 10011

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

LCM of:
and

Least Common Multiple of 10004 and 10011

LCM of 10004 and 10011 is 100150044

Least common multiple can be found by multiplying the highest exponent prime factors of 10004 and 10011. First we will calculate the prime factors of 10004 and 10011.

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 10011


3 10011
47 3337
71 71
1

Prime factors of 10011 are 3, 47,71. Prime factorization of 10011 in exponential form is:

10011 = 31×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10004 and 10011.

LCM(10004,10011) = 22×31×411×471×611×711
LCM(10004,10011) = 100150044

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 10011

List of positive integer factors of 10011 that divides 10011 without a remainder.

1, 3, 47, 71, 141, 213, 3337, 10011

Least Common Multiple of 10004 and 10011 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 10011, than apply into the LCM equation.

GCF(10004,10011) = 1
LCM(10004,10011) = ( 10004 × 10011) / 1
LCM(10004,10011) = 100150044 / 1
LCM(10004,10011) = 100150044

Properties of LCM 10004 and 10011

(i) The LCM of 10011 and 10004 is associative

LCM of 10004 and 10011 = LCM of 10011 and 10004

Related Least Common Multiples of 10004

Related Least Common Multiples of 10011

Frequently Asked Questions on LCM of 10004 and 10011

1. What is the LCM of 10004 and 10011?

Answer: LCM of 10004 and 10011 is 100150044.

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 10011?

Answer: Factors of 10011 are 1, 3, 47, 71, 141, 213, 3337, 10011. There are 8 integers that are factors of 10011. The greatest factor of 10011 is 10011.

4. How to Find the LCM of 10004 and 10011?

Answer:

Least Common Multiple of 10004 and 10011 = 100150044

Step 1: Find the prime factorization of 10004

10004 = 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 10011

10011 = 3 x 47 x 71

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

LCM = 100150044 = 2 x 2 x 3 x 41 x 47 x 61 x 71

Step 4: Therefore, the least common multiple of 10004 and 10011 is 100150044.