Least Common Multiple of 9005 and 9011

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 9011 the smallest integer that is 81144055 that is divisible by both numbers.

Least Common Multiple (LCM) of 9005 and 9011 is 81144055.

LCM(9005,9011) = 81144055

LCM of 9005 and 9011

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

LCM of:
and

Least Common Multiple of 9005 and 9011

LCM of 9005 and 9011 is 81144055

Least common multiple can be found by multiplying the highest exponent prime factors of 9005 and 9011. First we will calculate the prime factors of 9005 and 9011.

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 9011


9011 9011
1

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

9011 = 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 9005 and 9011.

LCM(9005,9011) = 51×18011×90111
LCM(9005,9011) = 81144055

Factors of 9005

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

1, 5, 1801, 9005

Factors of 9011

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

1, 9011

Least Common Multiple of 9005 and 9011 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 9011, than apply into the LCM equation.

GCF(9005,9011) = 1
LCM(9005,9011) = ( 9005 × 9011) / 1
LCM(9005,9011) = 81144055 / 1
LCM(9005,9011) = 81144055

Properties of LCM 9005 and 9011

(i) The LCM of 9011 and 9005 is associative

LCM of 9005 and 9011 = LCM of 9011 and 9005

Related Least Common Multiples of 9005

Related Least Common Multiples of 9011

Frequently Asked Questions on LCM of 9005 and 9011

1. What is the LCM of 9005 and 9011?

Answer: LCM of 9005 and 9011 is 81144055.

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 9011?

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

4. How to Find the LCM of 9005 and 9011?

Answer:

Least Common Multiple of 9005 and 9011 = 81144055

Step 1: Find the prime factorization of 9005

9005 = 5 x 1801

Step 2: Find the prime factorization of 9011

9011 = 9011

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

LCM = 81144055 = 5 x 1801 x 9011

Step 4: Therefore, the least common multiple of 9005 and 9011 is 81144055.