Least Common Multiple of 10000 and 10003

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 10003 the smallest integer that is 100030000 that is divisible by both numbers.

Least Common Multiple (LCM) of 10000 and 10003 is 100030000.

LCM(10000,10003) = 100030000

LCM of 10000 and 10003

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

LCM of:
and

Least Common Multiple of 10000 and 10003

LCM of 10000 and 10003 is 100030000

Least common multiple can be found by multiplying the highest exponent prime factors of 10000 and 10003. First we will calculate the prime factors of 10000 and 10003.

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 10003


7 10003
1429 1429
1

Prime factors of 10003 are 7,1429. Prime factorization of 10003 in exponential form is:

10003 = 71×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 10000 and 10003.

LCM(10000,10003) = 24×54×71×14291
LCM(10000,10003) = 100030000

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 10003

List of positive integer factors of 10003 that divides 10003 without a remainder.

1, 7, 1429, 10003

Least Common Multiple of 10000 and 10003 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 10003, than apply into the LCM equation.

GCF(10000,10003) = 1
LCM(10000,10003) = ( 10000 × 10003) / 1
LCM(10000,10003) = 100030000 / 1
LCM(10000,10003) = 100030000

Properties of LCM 10000 and 10003

(i) The LCM of 10003 and 10000 is associative

LCM of 10000 and 10003 = LCM of 10003 and 10000

Related Least Common Multiples of 10000

Related Least Common Multiples of 10003

Frequently Asked Questions on LCM of 10000 and 10003

1. What is the LCM of 10000 and 10003?

Answer: LCM of 10000 and 10003 is 100030000.

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 10003?

Answer: Factors of 10003 are 1, 7, 1429, 10003. There are 4 integers that are factors of 10003. The greatest factor of 10003 is 10003.

4. How to Find the LCM of 10000 and 10003?

Answer:

Least Common Multiple of 10000 and 10003 = 100030000

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 10003

10003 = 7 x 1429

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

LCM = 100030000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 7 x 1429

Step 4: Therefore, the least common multiple of 10000 and 10003 is 100030000.