Least Common Multiple of 9005 and 9013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9005 and 9013 the smallest integer that is 81162065 that is divisible by both numbers.

Least Common Multiple (LCM) of 9005 and 9013 is 81162065.

LCM(9005,9013) = 81162065

LCM of 9005 and 9013

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

LCM of:
and

Least Common Multiple of 9005 and 9013

LCM of 9005 and 9013 is 81162065

Least common multiple can be found by multiplying the highest exponent prime factors of 9005 and 9013. First we will calculate the prime factors of 9005 and 9013.

Prime Factorization of 9005


5 9005
1801 1801
1

Prime factors of 9005 are 5,1801. Prime factorization of 9005 in exponential form is:

9005 = 51×18011

Prime Factorization of 9013


9013 9013
1

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

9013 = 90131

Now multiplying the highest exponent prime factors to calculate the LCM of 9005 and 9013.

LCM(9005,9013) = 51×18011×90131
LCM(9005,9013) = 81162065

Factors of 9005

List of positive integer factors of 9005 that divides 9005 without a remainder.

1, 5, 1801, 9005

Factors of 9013

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

1, 9013

Least Common Multiple of 9005 and 9013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9005 and 9013, than apply into the LCM equation.

GCF(9005,9013) = 1
LCM(9005,9013) = ( 9005 × 9013) / 1
LCM(9005,9013) = 81162065 / 1
LCM(9005,9013) = 81162065

Properties of LCM 9005 and 9013

(i) The LCM of 9013 and 9005 is associative

LCM of 9005 and 9013 = LCM of 9013 and 9005

Related Least Common Multiples of 9005

Related Least Common Multiples of 9013

Frequently Asked Questions on LCM of 9005 and 9013

1. What is the LCM of 9005 and 9013?

Answer: LCM of 9005 and 9013 is 81162065.

2. What are the Factors of 9005?

Answer: Factors of 9005 are 1, 5, 1801, 9005. There are 4 integers that are factors of 9005. The greatest factor of 9005 is 9005.

3. 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.

4. How to Find the LCM of 9005 and 9013?

Answer:

Least Common Multiple of 9005 and 9013 = 81162065

Step 1: Find the prime factorization of 9005

9005 = 5 x 1801

Step 2: Find the prime factorization of 9013

9013 = 9013

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

LCM = 81162065 = 5 x 1801 x 9013

Step 4: Therefore, the least common multiple of 9005 and 9013 is 81162065.