Least Common Multiple of 8985 and 8991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8985 and 8991 the smallest integer that is 26928045 that is divisible by both numbers.

Least Common Multiple (LCM) of 8985 and 8991 is 26928045.

LCM(8985,8991) = 26928045

LCM of 8985 and 8991

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

LCM of:
and

Least Common Multiple of 8985 and 8991

LCM of 8985 and 8991 is 26928045

Least common multiple can be found by multiplying the highest exponent prime factors of 8985 and 8991. First we will calculate the prime factors of 8985 and 8991.

Prime Factorization of 8985


3 8985
5 2995
599 599
1

Prime factors of 8985 are 3, 5,599. Prime factorization of 8985 in exponential form is:

8985 = 31×51×5991

Prime Factorization of 8991


3 8991
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 8991 are 3,37. Prime factorization of 8991 in exponential form is:

8991 = 35×371

Now multiplying the highest exponent prime factors to calculate the LCM of 8985 and 8991.

LCM(8985,8991) = 35×51×371×5991
LCM(8985,8991) = 26928045

Factors of 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1, 3, 5, 15, 599, 1797, 2995, 8985

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991

Least Common Multiple of 8985 and 8991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8985 and 8991, than apply into the LCM equation.

GCF(8985,8991) = 3
LCM(8985,8991) = ( 8985 × 8991) / 3
LCM(8985,8991) = 80784135 / 3
LCM(8985,8991) = 26928045

Properties of LCM 8985 and 8991

(i) The LCM of 8991 and 8985 is associative

LCM of 8985 and 8991 = LCM of 8991 and 8985

Related Least Common Multiples of 8985

Related Least Common Multiples of 8991

Frequently Asked Questions on LCM of 8985 and 8991

1. What is the LCM of 8985 and 8991?

Answer: LCM of 8985 and 8991 is 26928045.

2. What are the Factors of 8985?

Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.

3. What are the Factors of 8991?

Answer: Factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991. There are 12 integers that are factors of 8991. The greatest factor of 8991 is 8991.

4. How to Find the LCM of 8985 and 8991?

Answer:

Least Common Multiple of 8985 and 8991 = 26928045

Step 1: Find the prime factorization of 8985

8985 = 3 x 5 x 599

Step 2: Find the prime factorization of 8991

8991 = 3 x 3 x 3 x 3 x 3 x 37

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

LCM = 26928045 = 3 x 3 x 3 x 3 x 3 x 5 x 37 x 599

Step 4: Therefore, the least common multiple of 8985 and 8991 is 26928045.