Least Common Multiple of 10003 and 10007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10003 and 10007 the smallest integer that is 100100021 that is divisible by both numbers.

Least Common Multiple (LCM) of 10003 and 10007 is 100100021.

LCM(10003,10007) = 100100021

LCM of 10003 and 10007

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

LCM of:
and

Least Common Multiple of 10003 and 10007

LCM of 10003 and 10007 is 100100021

Least common multiple can be found by multiplying the highest exponent prime factors of 10003 and 10007. First we will calculate the prime factors of 10003 and 10007.

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

Prime Factorization of 10007


10007 10007
1

Prime factors of 10007 are 10007. Prime factorization of 10007 in exponential form is:

10007 = 100071

Now multiplying the highest exponent prime factors to calculate the LCM of 10003 and 10007.

LCM(10003,10007) = 71×14291×100071
LCM(10003,10007) = 100100021

Factors of 10003

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

1, 7, 1429, 10003

Factors of 10007

List of positive integer factors of 10007 that divides 10007 without a remainder.

1, 10007

Least Common Multiple of 10003 and 10007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10003 and 10007, than apply into the LCM equation.

GCF(10003,10007) = 1
LCM(10003,10007) = ( 10003 × 10007) / 1
LCM(10003,10007) = 100100021 / 1
LCM(10003,10007) = 100100021

Properties of LCM 10003 and 10007

(i) The LCM of 10007 and 10003 is associative

LCM of 10003 and 10007 = LCM of 10007 and 10003

Related Least Common Multiples of 10003

Related Least Common Multiples of 10007

Frequently Asked Questions on LCM of 10003 and 10007

1. What is the LCM of 10003 and 10007?

Answer: LCM of 10003 and 10007 is 100100021.

2. 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.

3. What are the Factors of 10007?

Answer: Factors of 10007 are 1, 10007. There are 2 integers that are factors of 10007. The greatest factor of 10007 is 10007.

4. How to Find the LCM of 10003 and 10007?

Answer:

Least Common Multiple of 10003 and 10007 = 100100021

Step 1: Find the prime factorization of 10003

10003 = 7 x 1429

Step 2: Find the prime factorization of 10007

10007 = 10007

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

LCM = 100100021 = 7 x 1429 x 10007

Step 4: Therefore, the least common multiple of 10003 and 10007 is 100100021.