Least Common Multiple of 9008 and 9016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9008 and 9016 the smallest integer that is 10152016 that is divisible by both numbers.

Least Common Multiple (LCM) of 9008 and 9016 is 10152016.

LCM(9008,9016) = 10152016

LCM of 9008 and 9016

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

LCM of:
and

Least Common Multiple of 9008 and 9016

LCM of 9008 and 9016 is 10152016

Least common multiple can be found by multiplying the highest exponent prime factors of 9008 and 9016. First we will calculate the prime factors of 9008 and 9016.

Prime Factorization of 9008


2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 9008 are 2,563. Prime factorization of 9008 in exponential form is:

9008 = 24×5631

Prime Factorization of 9016


2 9016
2 4508
2 2254
7 1127
7 161
23 23
1

Prime factors of 9016 are 2, 7,23. Prime factorization of 9016 in exponential form is:

9016 = 23×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9008 and 9016.

LCM(9008,9016) = 24×72×231×5631
LCM(9008,9016) = 10152016

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008

Factors of 9016

List of positive integer factors of 9016 that divides 9016 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016

Least Common Multiple of 9008 and 9016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9008 and 9016, than apply into the LCM equation.

GCF(9008,9016) = 8
LCM(9008,9016) = ( 9008 × 9016) / 8
LCM(9008,9016) = 81216128 / 8
LCM(9008,9016) = 10152016

Properties of LCM 9008 and 9016

(i) The LCM of 9016 and 9008 is associative

LCM of 9008 and 9016 = LCM of 9016 and 9008

Related Least Common Multiples of 9008

Related Least Common Multiples of 9016

Frequently Asked Questions on LCM of 9008 and 9016

1. What is the LCM of 9008 and 9016?

Answer: LCM of 9008 and 9016 is 10152016.

2. What are the Factors of 9008?

Answer: Factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008. There are 10 integers that are factors of 9008. The greatest factor of 9008 is 9008.

3. What are the Factors of 9016?

Answer: Factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016. There are 24 integers that are factors of 9016. The greatest factor of 9016 is 9016.

4. How to Find the LCM of 9008 and 9016?

Answer:

Least Common Multiple of 9008 and 9016 = 10152016

Step 1: Find the prime factorization of 9008

9008 = 2 x 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 9016

9016 = 2 x 2 x 2 x 7 x 7 x 23

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

LCM = 10152016 = 2 x 2 x 2 x 2 x 7 x 7 x 23 x 563

Step 4: Therefore, the least common multiple of 9008 and 9016 is 10152016.