Least Common Multiple of 10003 and 10011

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 10011 the smallest integer that is 100140033 that is divisible by both numbers.

Least Common Multiple (LCM) of 10003 and 10011 is 100140033.

LCM(10003,10011) = 100140033

LCM of 10003 and 10011

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

LCM of:
and

Least Common Multiple of 10003 and 10011

LCM of 10003 and 10011 is 100140033

Least common multiple can be found by multiplying the highest exponent prime factors of 10003 and 10011. First we will calculate the prime factors of 10003 and 10011.

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 10011


3 10011
47 3337
71 71
1

Prime factors of 10011 are 3, 47,71. Prime factorization of 10011 in exponential form is:

10011 = 31×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10003 and 10011.

LCM(10003,10011) = 31×71×471×711×14291
LCM(10003,10011) = 100140033

Factors of 10003

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

1, 7, 1429, 10003

Factors of 10011

List of positive integer factors of 10011 that divides 10011 without a remainder.

1, 3, 47, 71, 141, 213, 3337, 10011

Least Common Multiple of 10003 and 10011 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 10011, than apply into the LCM equation.

GCF(10003,10011) = 1
LCM(10003,10011) = ( 10003 × 10011) / 1
LCM(10003,10011) = 100140033 / 1
LCM(10003,10011) = 100140033

Properties of LCM 10003 and 10011

(i) The LCM of 10011 and 10003 is associative

LCM of 10003 and 10011 = LCM of 10011 and 10003

Related Least Common Multiples of 10003

Related Least Common Multiples of 10011

Frequently Asked Questions on LCM of 10003 and 10011

1. What is the LCM of 10003 and 10011?

Answer: LCM of 10003 and 10011 is 100140033.

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 10011?

Answer: Factors of 10011 are 1, 3, 47, 71, 141, 213, 3337, 10011. There are 8 integers that are factors of 10011. The greatest factor of 10011 is 10011.

4. How to Find the LCM of 10003 and 10011?

Answer:

Least Common Multiple of 10003 and 10011 = 100140033

Step 1: Find the prime factorization of 10003

10003 = 7 x 1429

Step 2: Find the prime factorization of 10011

10011 = 3 x 47 x 71

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

LCM = 100140033 = 3 x 7 x 47 x 71 x 1429

Step 4: Therefore, the least common multiple of 10003 and 10011 is 100140033.