Least Common Multiple of 10006 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 10006 and 10012 the smallest integer that is 50090036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10006 and 10012 is 50090036.

LCM(10006,10012) = 50090036

LCM of 10006 and 10012

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

LCM of:
and

Least Common Multiple of 10006 and 10012

LCM of 10006 and 10012 is 50090036

Least common multiple can be found by multiplying the highest exponent prime factors of 10006 and 10012. First we will calculate the prime factors of 10006 and 10012.

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

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 10006 and 10012.

LCM(10006,10012) = 22×25031×50031
LCM(10006,10012) = 50090036

Factors of 10006

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

1, 2, 5003, 10006

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 10006 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 10006 and 10012, than apply into the LCM equation.

GCF(10006,10012) = 2
LCM(10006,10012) = ( 10006 × 10012) / 2
LCM(10006,10012) = 100180072 / 2
LCM(10006,10012) = 50090036

Properties of LCM 10006 and 10012

(i) The LCM of 10012 and 10006 is associative

LCM of 10006 and 10012 = LCM of 10012 and 10006

Related Least Common Multiples of 10006

Related Least Common Multiples of 10012

Frequently Asked Questions on LCM of 10006 and 10012

1. What is the LCM of 10006 and 10012?

Answer: LCM of 10006 and 10012 is 50090036.

2. 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.

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 10006 and 10012?

Answer:

Least Common Multiple of 10006 and 10012 = 50090036

Step 1: Find the prime factorization of 10006

10006 = 2 x 5003

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 = 50090036 = 2 x 2 x 2503 x 5003

Step 4: Therefore, the least common multiple of 10006 and 10012 is 50090036.