Least Common Multiple of 9011 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 9011 and 9017 the smallest integer that is 81252187 that is divisible by both numbers.

Least Common Multiple (LCM) of 9011 and 9017 is 81252187.

LCM(9011,9017) = 81252187

LCM of 9011 and 9017

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

LCM of:
and

Least Common Multiple of 9011 and 9017

LCM of 9011 and 9017 is 81252187

Least common multiple can be found by multiplying the highest exponent prime factors of 9011 and 9017. First we will calculate the prime factors of 9011 and 9017.

Prime Factorization of 9011


9011 9011
1

Prime factors of 9011 are 9011. Prime factorization of 9011 in exponential form is:

9011 = 90111

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 9011 and 9017.

LCM(9011,9017) = 711×1271×90111
LCM(9011,9017) = 81252187

Factors of 9011

List of positive integer factors of 9011 that divides 9011 without a remainder.

1, 9011

Factors of 9017

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

1, 71, 127, 9017

Least Common Multiple of 9011 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 9011 and 9017, than apply into the LCM equation.

GCF(9011,9017) = 1
LCM(9011,9017) = ( 9011 × 9017) / 1
LCM(9011,9017) = 81252187 / 1
LCM(9011,9017) = 81252187

Properties of LCM 9011 and 9017

(i) The LCM of 9017 and 9011 is associative

LCM of 9011 and 9017 = LCM of 9017 and 9011

Related Least Common Multiples of 9011

Related Least Common Multiples of 9017

Frequently Asked Questions on LCM of 9011 and 9017

1. What is the LCM of 9011 and 9017?

Answer: LCM of 9011 and 9017 is 81252187.

2. What are the Factors of 9011?

Answer: Factors of 9011 are 1, 9011. There are 2 integers that are factors of 9011. The greatest factor of 9011 is 9011.

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 9011 and 9017?

Answer:

Least Common Multiple of 9011 and 9017 = 81252187

Step 1: Find the prime factorization of 9011

9011 = 9011

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 = 81252187 = 71 x 127 x 9011

Step 4: Therefore, the least common multiple of 9011 and 9017 is 81252187.