Least Common Multiple of 9011 and 9019

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 9019 the smallest integer that is 81270209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9011 and 9019 is 81270209.

LCM(9011,9019) = 81270209

LCM of 9011 and 9019

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

LCM of:
and

Least Common Multiple of 9011 and 9019

LCM of 9011 and 9019 is 81270209

Least common multiple can be found by multiplying the highest exponent prime factors of 9011 and 9019. First we will calculate the prime factors of 9011 and 9019.

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 9019


29 9019
311 311
1

Prime factors of 9019 are 29,311. Prime factorization of 9019 in exponential form is:

9019 = 291×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9011 and 9019.

LCM(9011,9019) = 291×3111×90111
LCM(9011,9019) = 81270209

Factors of 9011

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

1, 9011

Factors of 9019

List of positive integer factors of 9019 that divides 9019 without a remainder.

1, 29, 311, 9019

Least Common Multiple of 9011 and 9019 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 9019, than apply into the LCM equation.

GCF(9011,9019) = 1
LCM(9011,9019) = ( 9011 × 9019) / 1
LCM(9011,9019) = 81270209 / 1
LCM(9011,9019) = 81270209

Properties of LCM 9011 and 9019

(i) The LCM of 9019 and 9011 is associative

LCM of 9011 and 9019 = LCM of 9019 and 9011

Related Least Common Multiples of 9011

Related Least Common Multiples of 9019

Frequently Asked Questions on LCM of 9011 and 9019

1. What is the LCM of 9011 and 9019?

Answer: LCM of 9011 and 9019 is 81270209.

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 9019?

Answer: Factors of 9019 are 1, 29, 311, 9019. There are 4 integers that are factors of 9019. The greatest factor of 9019 is 9019.

4. How to Find the LCM of 9011 and 9019?

Answer:

Least Common Multiple of 9011 and 9019 = 81270209

Step 1: Find the prime factorization of 9011

9011 = 9011

Step 2: Find the prime factorization of 9019

9019 = 29 x 311

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

LCM = 81270209 = 29 x 311 x 9011

Step 4: Therefore, the least common multiple of 9011 and 9019 is 81270209.