Least Common Multiple of 10000 and 10002

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 10002 the smallest integer that is 50010000 that is divisible by both numbers.

Least Common Multiple (LCM) of 10000 and 10002 is 50010000.

LCM(10000,10002) = 50010000

LCM of 10000 and 10002

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

LCM of:
and

Least Common Multiple of 10000 and 10002

LCM of 10000 and 10002 is 50010000

Least common multiple can be found by multiplying the highest exponent prime factors of 10000 and 10002. First we will calculate the prime factors of 10000 and 10002.

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 10002


2 10002
3 5001
1667 1667
1

Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:

10002 = 21×31×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 10000 and 10002.

LCM(10000,10002) = 24×31×54×16671
LCM(10000,10002) = 50010000

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 10002

List of positive integer factors of 10002 that divides 10002 without a remainder.

1, 2, 3, 6, 1667, 3334, 5001, 10002

Least Common Multiple of 10000 and 10002 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 10002, than apply into the LCM equation.

GCF(10000,10002) = 2
LCM(10000,10002) = ( 10000 × 10002) / 2
LCM(10000,10002) = 100020000 / 2
LCM(10000,10002) = 50010000

Properties of LCM 10000 and 10002

(i) The LCM of 10002 and 10000 is associative

LCM of 10000 and 10002 = LCM of 10002 and 10000

Related Least Common Multiples of 10000

Related Least Common Multiples of 10002

Frequently Asked Questions on LCM of 10000 and 10002

1. What is the LCM of 10000 and 10002?

Answer: LCM of 10000 and 10002 is 50010000.

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 10002?

Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.

4. How to Find the LCM of 10000 and 10002?

Answer:

Least Common Multiple of 10000 and 10002 = 50010000

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 10002

10002 = 2 x 3 x 1667

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

LCM = 50010000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 1667

Step 4: Therefore, the least common multiple of 10000 and 10002 is 50010000.