Least Common Multiple of 9013 and 9021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9013 and 9021 the smallest integer that is 81306273 that is divisible by both numbers.

Least Common Multiple (LCM) of 9013 and 9021 is 81306273.

LCM(9013,9021) = 81306273

LCM of 9013 and 9021

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

LCM of:
and

Least Common Multiple of 9013 and 9021

LCM of 9013 and 9021 is 81306273

Least common multiple can be found by multiplying the highest exponent prime factors of 9013 and 9021. First we will calculate the prime factors of 9013 and 9021.

Prime Factorization of 9013


9013 9013
1

Prime factors of 9013 are 9013. Prime factorization of 9013 in exponential form is:

9013 = 90131

Prime Factorization of 9021


3 9021
31 3007
97 97
1

Prime factors of 9021 are 3, 31,97. Prime factorization of 9021 in exponential form is:

9021 = 31×311×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9013 and 9021.

LCM(9013,9021) = 31×311×971×90131
LCM(9013,9021) = 81306273

Factors of 9013

List of positive integer factors of 9013 that divides 9013 without a remainder.

1, 9013

Factors of 9021

List of positive integer factors of 9021 that divides 9021 without a remainder.

1, 3, 31, 93, 97, 291, 3007, 9021

Least Common Multiple of 9013 and 9021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9013 and 9021, than apply into the LCM equation.

GCF(9013,9021) = 1
LCM(9013,9021) = ( 9013 × 9021) / 1
LCM(9013,9021) = 81306273 / 1
LCM(9013,9021) = 81306273

Properties of LCM 9013 and 9021

(i) The LCM of 9021 and 9013 is associative

LCM of 9013 and 9021 = LCM of 9021 and 9013

Related Least Common Multiples of 9013

Related Least Common Multiples of 9021

Frequently Asked Questions on LCM of 9013 and 9021

1. What is the LCM of 9013 and 9021?

Answer: LCM of 9013 and 9021 is 81306273.

2. What are the Factors of 9013?

Answer: Factors of 9013 are 1, 9013. There are 2 integers that are factors of 9013. The greatest factor of 9013 is 9013.

3. What are the Factors of 9021?

Answer: Factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021. There are 8 integers that are factors of 9021. The greatest factor of 9021 is 9021.

4. How to Find the LCM of 9013 and 9021?

Answer:

Least Common Multiple of 9013 and 9021 = 81306273

Step 1: Find the prime factorization of 9013

9013 = 9013

Step 2: Find the prime factorization of 9021

9021 = 3 x 31 x 97

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

LCM = 81306273 = 3 x 31 x 97 x 9013

Step 4: Therefore, the least common multiple of 9013 and 9021 is 81306273.