Least Common Multiple of 10000 and 10001

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 10001 the smallest integer that is 100010000 that is divisible by both numbers.

Least Common Multiple (LCM) of 10000 and 10001 is 100010000.

LCM(10000,10001) = 100010000

LCM of 10000 and 10001

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

LCM of:
and

Least Common Multiple of 10000 and 10001

LCM of 10000 and 10001 is 100010000

Least common multiple can be found by multiplying the highest exponent prime factors of 10000 and 10001. First we will calculate the prime factors of 10000 and 10001.

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 10001


73 10001
137 137
1

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

10001 = 731×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 10000 and 10001.

LCM(10000,10001) = 24×54×731×1371
LCM(10000,10001) = 100010000

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 10001

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

1, 73, 137, 10001

Least Common Multiple of 10000 and 10001 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 10001, than apply into the LCM equation.

GCF(10000,10001) = 1
LCM(10000,10001) = ( 10000 × 10001) / 1
LCM(10000,10001) = 100010000 / 1
LCM(10000,10001) = 100010000

Properties of LCM 10000 and 10001

(i) The LCM of 10001 and 10000 is associative

LCM of 10000 and 10001 = LCM of 10001 and 10000

Related Least Common Multiples of 10000

Related Least Common Multiples of 10001

Frequently Asked Questions on LCM of 10000 and 10001

1. What is the LCM of 10000 and 10001?

Answer: LCM of 10000 and 10001 is 100010000.

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 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.

4. How to Find the LCM of 10000 and 10001?

Answer:

Least Common Multiple of 10000 and 10001 = 100010000

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 10001

10001 = 73 x 137

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

LCM = 100010000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 10000 and 10001 is 100010000.