Least Common Multiple of 10006 and 10009

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 10009 the smallest integer that is 100150054 that is divisible by both numbers.

Least Common Multiple (LCM) of 10006 and 10009 is 100150054.

LCM(10006,10009) = 100150054

LCM of 10006 and 10009

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

LCM of:
and

Least Common Multiple of 10006 and 10009

LCM of 10006 and 10009 is 100150054

Least common multiple can be found by multiplying the highest exponent prime factors of 10006 and 10009. First we will calculate the prime factors of 10006 and 10009.

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 10009


10009 10009
1

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

10009 = 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 10006 and 10009.

LCM(10006,10009) = 21×50031×100091
LCM(10006,10009) = 100150054

Factors of 10006

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

1, 2, 5003, 10006

Factors of 10009

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

1, 10009

Least Common Multiple of 10006 and 10009 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 10009, than apply into the LCM equation.

GCF(10006,10009) = 1
LCM(10006,10009) = ( 10006 × 10009) / 1
LCM(10006,10009) = 100150054 / 1
LCM(10006,10009) = 100150054

Properties of LCM 10006 and 10009

(i) The LCM of 10009 and 10006 is associative

LCM of 10006 and 10009 = LCM of 10009 and 10006

Related Least Common Multiples of 10006

Related Least Common Multiples of 10009

Frequently Asked Questions on LCM of 10006 and 10009

1. What is the LCM of 10006 and 10009?

Answer: LCM of 10006 and 10009 is 100150054.

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 10009?

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

4. How to Find the LCM of 10006 and 10009?

Answer:

Least Common Multiple of 10006 and 10009 = 100150054

Step 1: Find the prime factorization of 10006

10006 = 2 x 5003

Step 2: Find the prime factorization of 10009

10009 = 10009

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

LCM = 100150054 = 2 x 5003 x 10009

Step 4: Therefore, the least common multiple of 10006 and 10009 is 100150054.