Least Common Multiple of 10012 and 10015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10012 and 10015 the smallest integer that is 100270180 that is divisible by both numbers.

Least Common Multiple (LCM) of 10012 and 10015 is 100270180.

LCM(10012,10015) = 100270180

LCM of 10012 and 10015

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

LCM of:
and

Least Common Multiple of 10012 and 10015

LCM of 10012 and 10015 is 100270180

Least common multiple can be found by multiplying the highest exponent prime factors of 10012 and 10015. First we will calculate the prime factors of 10012 and 10015.

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

Prime Factorization of 10015


5 10015
2003 2003
1

Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:

10015 = 51×20031

Now multiplying the highest exponent prime factors to calculate the LCM of 10012 and 10015.

LCM(10012,10015) = 22×51×20031×25031
LCM(10012,10015) = 100270180

Factors of 10012

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

1, 2, 4, 2503, 5006, 10012

Factors of 10015

List of positive integer factors of 10015 that divides 10015 without a remainder.

1, 5, 2003, 10015

Least Common Multiple of 10012 and 10015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10012 and 10015, than apply into the LCM equation.

GCF(10012,10015) = 1
LCM(10012,10015) = ( 10012 × 10015) / 1
LCM(10012,10015) = 100270180 / 1
LCM(10012,10015) = 100270180

Properties of LCM 10012 and 10015

(i) The LCM of 10015 and 10012 is associative

LCM of 10012 and 10015 = LCM of 10015 and 10012

Related Least Common Multiples of 10012

Related Least Common Multiples of 10015

Frequently Asked Questions on LCM of 10012 and 10015

1. What is the LCM of 10012 and 10015?

Answer: LCM of 10012 and 10015 is 100270180.

2. 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.

3. What are the Factors of 10015?

Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.

4. How to Find the LCM of 10012 and 10015?

Answer:

Least Common Multiple of 10012 and 10015 = 100270180

Step 1: Find the prime factorization of 10012

10012 = 2 x 2 x 2503

Step 2: Find the prime factorization of 10015

10015 = 5 x 2003

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

LCM = 100270180 = 2 x 2 x 5 x 2003 x 2503

Step 4: Therefore, the least common multiple of 10012 and 10015 is 100270180.