Least Common Multiple of 9010 and 9017

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 9017 the smallest integer that is 81243170 that is divisible by both numbers.

Least Common Multiple (LCM) of 9010 and 9017 is 81243170.

LCM(9010,9017) = 81243170

LCM of 9010 and 9017

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

LCM of:
and

Least Common Multiple of 9010 and 9017

LCM of 9010 and 9017 is 81243170

Least common multiple can be found by multiplying the highest exponent prime factors of 9010 and 9017. First we will calculate the prime factors of 9010 and 9017.

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 9017


71 9017
127 127
1

Prime factors of 9017 are 71,127. Prime factorization of 9017 in exponential form is:

9017 = 711×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9010 and 9017.

LCM(9010,9017) = 21×51×171×531×711×1271
LCM(9010,9017) = 81243170

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 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1, 71, 127, 9017

Least Common Multiple of 9010 and 9017 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 9017, than apply into the LCM equation.

GCF(9010,9017) = 1
LCM(9010,9017) = ( 9010 × 9017) / 1
LCM(9010,9017) = 81243170 / 1
LCM(9010,9017) = 81243170

Properties of LCM 9010 and 9017

(i) The LCM of 9017 and 9010 is associative

LCM of 9010 and 9017 = LCM of 9017 and 9010

Related Least Common Multiples of 9010

Related Least Common Multiples of 9017

Frequently Asked Questions on LCM of 9010 and 9017

1. What is the LCM of 9010 and 9017?

Answer: LCM of 9010 and 9017 is 81243170.

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 9017?

Answer: Factors of 9017 are 1, 71, 127, 9017. There are 4 integers that are factors of 9017. The greatest factor of 9017 is 9017.

4. How to Find the LCM of 9010 and 9017?

Answer:

Least Common Multiple of 9010 and 9017 = 81243170

Step 1: Find the prime factorization of 9010

9010 = 2 x 5 x 17 x 53

Step 2: Find the prime factorization of 9017

9017 = 71 x 127

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

LCM = 81243170 = 2 x 5 x 17 x 53 x 71 x 127

Step 4: Therefore, the least common multiple of 9010 and 9017 is 81243170.