Least Common Multiple of 10000 and 10006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10000 and 10006 the smallest integer that is 50030000 that is divisible by both numbers.

Least Common Multiple (LCM) of 10000 and 10006 is 50030000.

LCM(10000,10006) = 50030000

LCM of 10000 and 10006

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

LCM of:
and

Least Common Multiple of 10000 and 10006

LCM of 10000 and 10006 is 50030000

Least common multiple can be found by multiplying the highest exponent prime factors of 10000 and 10006. First we will calculate the prime factors of 10000 and 10006.

Prime Factorization of 10000


2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 10000 are 2,5. Prime factorization of 10000 in exponential form is:

10000 = 24×54

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10000 and 10006.

LCM(10000,10006) = 24×54×50031
LCM(10000,10006) = 50030000

Factors of 10000

List of positive integer factors of 10000 that divides 10000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000

Factors of 10006

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

1, 2, 5003, 10006

Least Common Multiple of 10000 and 10006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10000 and 10006, than apply into the LCM equation.

GCF(10000,10006) = 2
LCM(10000,10006) = ( 10000 × 10006) / 2
LCM(10000,10006) = 100060000 / 2
LCM(10000,10006) = 50030000

Properties of LCM 10000 and 10006

(i) The LCM of 10006 and 10000 is associative

LCM of 10000 and 10006 = LCM of 10006 and 10000

Related Least Common Multiples of 10000

Related Least Common Multiples of 10006

Frequently Asked Questions on LCM of 10000 and 10006

1. What is the LCM of 10000 and 10006?

Answer: LCM of 10000 and 10006 is 50030000.

2. What are the Factors of 10000?

Answer: Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000. There are 25 integers that are factors of 10000. The greatest factor of 10000 is 10000.

3. 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.

4. How to Find the LCM of 10000 and 10006?

Answer:

Least Common Multiple of 10000 and 10006 = 50030000

Step 1: Find the prime factorization of 10000

10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 10006

10006 = 2 x 5003

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

LCM = 50030000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5003

Step 4: Therefore, the least common multiple of 10000 and 10006 is 50030000.