Least Common Multiple of 9005 and 9012

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 9012 the smallest integer that is 81153060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9005 and 9012 is 81153060.

LCM(9005,9012) = 81153060

LCM of 9005 and 9012

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

LCM of:
and

Least Common Multiple of 9005 and 9012

LCM of 9005 and 9012 is 81153060

Least common multiple can be found by multiplying the highest exponent prime factors of 9005 and 9012. First we will calculate the prime factors of 9005 and 9012.

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 9012


2 9012
2 4506
3 2253
751 751
1

Prime factors of 9012 are 2, 3,751. Prime factorization of 9012 in exponential form is:

9012 = 22×31×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 9005 and 9012.

LCM(9005,9012) = 22×31×51×7511×18011
LCM(9005,9012) = 81153060

Factors of 9005

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

1, 5, 1801, 9005

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012

Least Common Multiple of 9005 and 9012 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 9012, than apply into the LCM equation.

GCF(9005,9012) = 1
LCM(9005,9012) = ( 9005 × 9012) / 1
LCM(9005,9012) = 81153060 / 1
LCM(9005,9012) = 81153060

Properties of LCM 9005 and 9012

(i) The LCM of 9012 and 9005 is associative

LCM of 9005 and 9012 = LCM of 9012 and 9005

Related Least Common Multiples of 9005

Related Least Common Multiples of 9012

Frequently Asked Questions on LCM of 9005 and 9012

1. What is the LCM of 9005 and 9012?

Answer: LCM of 9005 and 9012 is 81153060.

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 9012?

Answer: Factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012. There are 12 integers that are factors of 9012. The greatest factor of 9012 is 9012.

4. How to Find the LCM of 9005 and 9012?

Answer:

Least Common Multiple of 9005 and 9012 = 81153060

Step 1: Find the prime factorization of 9005

9005 = 5 x 1801

Step 2: Find the prime factorization of 9012

9012 = 2 x 2 x 3 x 751

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

LCM = 81153060 = 2 x 2 x 3 x 5 x 751 x 1801

Step 4: Therefore, the least common multiple of 9005 and 9012 is 81153060.