Least Common Multiple of 8999 and 9005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8999 and 9005 the smallest integer that is 81035995 that is divisible by both numbers.

Least Common Multiple (LCM) of 8999 and 9005 is 81035995.

LCM(8999,9005) = 81035995

LCM of 8999 and 9005

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

LCM of:
and

Least Common Multiple of 8999 and 9005

LCM of 8999 and 9005 is 81035995

Least common multiple can be found by multiplying the highest exponent prime factors of 8999 and 9005. First we will calculate the prime factors of 8999 and 9005.

Prime Factorization of 8999


8999 8999
1

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 89991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8999 and 9005.

LCM(8999,9005) = 51×18011×89991
LCM(8999,9005) = 81035995

Factors of 8999

List of positive integer factors of 8999 that divides 8999 without a remainder.

1, 8999

Factors of 9005

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

1, 5, 1801, 9005

Least Common Multiple of 8999 and 9005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8999 and 9005, than apply into the LCM equation.

GCF(8999,9005) = 1
LCM(8999,9005) = ( 8999 × 9005) / 1
LCM(8999,9005) = 81035995 / 1
LCM(8999,9005) = 81035995

Properties of LCM 8999 and 9005

(i) The LCM of 9005 and 8999 is associative

LCM of 8999 and 9005 = LCM of 9005 and 8999

Related Least Common Multiples of 8999

Related Least Common Multiples of 9005

Frequently Asked Questions on LCM of 8999 and 9005

1. What is the LCM of 8999 and 9005?

Answer: LCM of 8999 and 9005 is 81035995.

2. What are the Factors of 8999?

Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.

3. 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.

4. How to Find the LCM of 8999 and 9005?

Answer:

Least Common Multiple of 8999 and 9005 = 81035995

Step 1: Find the prime factorization of 8999

8999 = 8999

Step 2: Find the prime factorization of 9005

9005 = 5 x 1801

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

LCM = 81035995 = 5 x 1801 x 8999

Step 4: Therefore, the least common multiple of 8999 and 9005 is 81035995.