Least Common Multiple of 9010 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 9010 and 9016 the smallest integer that is 40617080 that is divisible by both numbers.

Least Common Multiple (LCM) of 9010 and 9016 is 40617080.

LCM(9010,9016) = 40617080

LCM of 9010 and 9016

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

LCM of:
and

Least Common Multiple of 9010 and 9016

LCM of 9010 and 9016 is 40617080

Least common multiple can be found by multiplying the highest exponent prime factors of 9010 and 9016. First we will calculate the prime factors of 9010 and 9016.

Prime Factorization of 9010


2 9010
5 4505
17 901
53 53
1

Prime factors of 9010 are 2, 5, 17,53. Prime factorization of 9010 in exponential form is:

9010 = 21×51×171×531

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 9010 and 9016.

LCM(9010,9016) = 23×51×72×171×231×531
LCM(9010,9016) = 40617080

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010

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 9010 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 9010 and 9016, than apply into the LCM equation.

GCF(9010,9016) = 2
LCM(9010,9016) = ( 9010 × 9016) / 2
LCM(9010,9016) = 81234160 / 2
LCM(9010,9016) = 40617080

Properties of LCM 9010 and 9016

(i) The LCM of 9016 and 9010 is associative

LCM of 9010 and 9016 = LCM of 9016 and 9010

Related Least Common Multiples of 9010

Related Least Common Multiples of 9016

Frequently Asked Questions on LCM of 9010 and 9016

1. What is the LCM of 9010 and 9016?

Answer: LCM of 9010 and 9016 is 40617080.

2. What are the Factors of 9010?

Answer: Factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010. There are 16 integers that are factors of 9010. The greatest factor of 9010 is 9010.

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 9010 and 9016?

Answer:

Least Common Multiple of 9010 and 9016 = 40617080

Step 1: Find the prime factorization of 9010

9010 = 2 x 5 x 17 x 53

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 = 40617080 = 2 x 2 x 2 x 5 x 7 x 7 x 17 x 23 x 53

Step 4: Therefore, the least common multiple of 9010 and 9016 is 40617080.