Least Common Multiple of 10001 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 10001 and 10009 the smallest integer that is 100100009 that is divisible by both numbers.

Least Common Multiple (LCM) of 10001 and 10009 is 100100009.

LCM(10001,10009) = 100100009

LCM of 10001 and 10009

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

LCM of:
and

Least Common Multiple of 10001 and 10009

LCM of 10001 and 10009 is 100100009

Least common multiple can be found by multiplying the highest exponent prime factors of 10001 and 10009. First we will calculate the prime factors of 10001 and 10009.

Prime Factorization of 10001


73 10001
137 137
1

Prime factors of 10001 are 73,137. Prime factorization of 10001 in exponential form is:

10001 = 731×1371

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 10001 and 10009.

LCM(10001,10009) = 731×1371×100091
LCM(10001,10009) = 100100009

Factors of 10001

List of positive integer factors of 10001 that divides 10001 without a remainder.

1, 73, 137, 10001

Factors of 10009

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

1, 10009

Least Common Multiple of 10001 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 10001 and 10009, than apply into the LCM equation.

GCF(10001,10009) = 1
LCM(10001,10009) = ( 10001 × 10009) / 1
LCM(10001,10009) = 100100009 / 1
LCM(10001,10009) = 100100009

Properties of LCM 10001 and 10009

(i) The LCM of 10009 and 10001 is associative

LCM of 10001 and 10009 = LCM of 10009 and 10001

Related Least Common Multiples of 10001

Related Least Common Multiples of 10009

Frequently Asked Questions on LCM of 10001 and 10009

1. What is the LCM of 10001 and 10009?

Answer: LCM of 10001 and 10009 is 100100009.

2. What are the Factors of 10001?

Answer: Factors of 10001 are 1, 73, 137, 10001. There are 4 integers that are factors of 10001. The greatest factor of 10001 is 10001.

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 10001 and 10009?

Answer:

Least Common Multiple of 10001 and 10009 = 100100009

Step 1: Find the prime factorization of 10001

10001 = 73 x 137

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 = 100100009 = 73 x 137 x 10009

Step 4: Therefore, the least common multiple of 10001 and 10009 is 100100009.