Least Common Multiple of 10005 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 10005 and 10012 the smallest integer that is 100170060 that is divisible by both numbers.

Least Common Multiple (LCM) of 10005 and 10012 is 100170060.

LCM(10005,10012) = 100170060

LCM of 10005 and 10012

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

LCM of:
and

Least Common Multiple of 10005 and 10012

LCM of 10005 and 10012 is 100170060

Least common multiple can be found by multiplying the highest exponent prime factors of 10005 and 10012. First we will calculate the prime factors of 10005 and 10012.

Prime Factorization of 10005


3 10005
5 3335
23 667
29 29
1

Prime factors of 10005 are 3, 5, 23,29. Prime factorization of 10005 in exponential form is:

10005 = 31×51×231×291

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 10005 and 10012.

LCM(10005,10012) = 22×31×51×231×291×25031
LCM(10005,10012) = 100170060

Factors of 10005

List of positive integer factors of 10005 that divides 10005 without a remainder.

1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005

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 10005 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 10005 and 10012, than apply into the LCM equation.

GCF(10005,10012) = 1
LCM(10005,10012) = ( 10005 × 10012) / 1
LCM(10005,10012) = 100170060 / 1
LCM(10005,10012) = 100170060

Properties of LCM 10005 and 10012

(i) The LCM of 10012 and 10005 is associative

LCM of 10005 and 10012 = LCM of 10012 and 10005

Related Least Common Multiples of 10005

Related Least Common Multiples of 10012

Frequently Asked Questions on LCM of 10005 and 10012

1. What is the LCM of 10005 and 10012?

Answer: LCM of 10005 and 10012 is 100170060.

2. What are the Factors of 10005?

Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.

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 10005 and 10012?

Answer:

Least Common Multiple of 10005 and 10012 = 100170060

Step 1: Find the prime factorization of 10005

10005 = 3 x 5 x 23 x 29

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 = 100170060 = 2 x 2 x 3 x 5 x 23 x 29 x 2503

Step 4: Therefore, the least common multiple of 10005 and 10012 is 100170060.