Least Common Multiple of 10009 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 10009 and 10012 the smallest integer that is 100210108 that is divisible by both numbers.

Least Common Multiple (LCM) of 10009 and 10012 is 100210108.

LCM(10009,10012) = 100210108

LCM of 10009 and 10012

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

LCM of:
and

Least Common Multiple of 10009 and 10012

LCM of 10009 and 10012 is 100210108

Least common multiple can be found by multiplying the highest exponent prime factors of 10009 and 10012. First we will calculate the prime factors of 10009 and 10012.

Prime Factorization of 10009


10009 10009
1

Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:

10009 = 100091

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 10009 and 10012.

LCM(10009,10012) = 22×25031×100091
LCM(10009,10012) = 100210108

Factors of 10009

List of positive integer factors of 10009 that divides 10009 without a remainder.

1, 10009

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 10009 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 10009 and 10012, than apply into the LCM equation.

GCF(10009,10012) = 1
LCM(10009,10012) = ( 10009 × 10012) / 1
LCM(10009,10012) = 100210108 / 1
LCM(10009,10012) = 100210108

Properties of LCM 10009 and 10012

(i) The LCM of 10012 and 10009 is associative

LCM of 10009 and 10012 = LCM of 10012 and 10009

Related Least Common Multiples of 10009

Related Least Common Multiples of 10012

Frequently Asked Questions on LCM of 10009 and 10012

1. What is the LCM of 10009 and 10012?

Answer: LCM of 10009 and 10012 is 100210108.

2. What are the Factors of 10009?

Answer: Factors of 10009 are 1, 10009. There are 2 integers that are factors of 10009. The greatest factor of 10009 is 10009.

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 10009 and 10012?

Answer:

Least Common Multiple of 10009 and 10012 = 100210108

Step 1: Find the prime factorization of 10009

10009 = 10009

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 = 100210108 = 2 x 2 x 2503 x 10009

Step 4: Therefore, the least common multiple of 10009 and 10012 is 100210108.