Least Common Multiple of 10002 and 10008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10002 and 10008 the smallest integer that is 16683336 that is divisible by both numbers.

Least Common Multiple (LCM) of 10002 and 10008 is 16683336.

LCM(10002,10008) = 16683336

LCM of 10002 and 10008

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

LCM of:
and

Least Common Multiple of 10002 and 10008

LCM of 10002 and 10008 is 16683336

Least common multiple can be found by multiplying the highest exponent prime factors of 10002 and 10008. First we will calculate the prime factors of 10002 and 10008.

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

Prime Factorization of 10008


2 10008
2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 10008 are 2, 3,139. Prime factorization of 10008 in exponential form is:

10008 = 23×32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10002 and 10008.

LCM(10002,10008) = 23×32×1391×16671
LCM(10002,10008) = 16683336

Factors of 10002

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

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

Factors of 10008

List of positive integer factors of 10008 that divides 10008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008

Least Common Multiple of 10002 and 10008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10002 and 10008, than apply into the LCM equation.

GCF(10002,10008) = 6
LCM(10002,10008) = ( 10002 × 10008) / 6
LCM(10002,10008) = 100100016 / 6
LCM(10002,10008) = 16683336

Properties of LCM 10002 and 10008

(i) The LCM of 10008 and 10002 is associative

LCM of 10002 and 10008 = LCM of 10008 and 10002

Related Least Common Multiples of 10002

Related Least Common Multiples of 10008

Frequently Asked Questions on LCM of 10002 and 10008

1. What is the LCM of 10002 and 10008?

Answer: LCM of 10002 and 10008 is 16683336.

2. 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.

3. What are the Factors of 10008?

Answer: Factors of 10008 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008. There are 24 integers that are factors of 10008. The greatest factor of 10008 is 10008.

4. How to Find the LCM of 10002 and 10008?

Answer:

Least Common Multiple of 10002 and 10008 = 16683336

Step 1: Find the prime factorization of 10002

10002 = 2 x 3 x 1667

Step 2: Find the prime factorization of 10008

10008 = 2 x 2 x 2 x 3 x 3 x 139

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

LCM = 16683336 = 2 x 2 x 2 x 3 x 3 x 139 x 1667

Step 4: Therefore, the least common multiple of 10002 and 10008 is 16683336.