Least Common Multiple of 10008 and 10016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10008 and 10016 the smallest integer that is 12530016 that is divisible by both numbers.

Least Common Multiple (LCM) of 10008 and 10016 is 12530016.

LCM(10008,10016) = 12530016

LCM of 10008 and 10016

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

LCM of:
and

Least Common Multiple of 10008 and 10016

LCM of 10008 and 10016 is 12530016

Least common multiple can be found by multiplying the highest exponent prime factors of 10008 and 10016. First we will calculate the prime factors of 10008 and 10016.

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

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 10008 and 10016.

LCM(10008,10016) = 25×32×1391×3131
LCM(10008,10016) = 12530016

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

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016

Least Common Multiple of 10008 and 10016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10008 and 10016, than apply into the LCM equation.

GCF(10008,10016) = 8
LCM(10008,10016) = ( 10008 × 10016) / 8
LCM(10008,10016) = 100240128 / 8
LCM(10008,10016) = 12530016

Properties of LCM 10008 and 10016

(i) The LCM of 10016 and 10008 is associative

LCM of 10008 and 10016 = LCM of 10016 and 10008

Related Least Common Multiples of 10008

Related Least Common Multiples of 10016

Frequently Asked Questions on LCM of 10008 and 10016

1. What is the LCM of 10008 and 10016?

Answer: LCM of 10008 and 10016 is 12530016.

2. 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.

3. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

4. How to Find the LCM of 10008 and 10016?

Answer:

Least Common Multiple of 10008 and 10016 = 12530016

Step 1: Find the prime factorization of 10008

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

Step 2: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

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

LCM = 12530016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 139 x 313

Step 4: Therefore, the least common multiple of 10008 and 10016 is 12530016.