Least Common Multiple of 8986 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 8986 and 8991 the smallest integer that is 80793126 that is divisible by both numbers.

Least Common Multiple (LCM) of 8986 and 8991 is 80793126.

LCM(8986,8991) = 80793126

LCM of 8986 and 8991

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

LCM of:
and

Least Common Multiple of 8986 and 8991

LCM of 8986 and 8991 is 80793126

Least common multiple can be found by multiplying the highest exponent prime factors of 8986 and 8991. First we will calculate the prime factors of 8986 and 8991.

Prime Factorization of 8986


2 8986
4493 4493
1

Prime factors of 8986 are 2,4493. Prime factorization of 8986 in exponential form is:

8986 = 21×44931

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 8986 and 8991.

LCM(8986,8991) = 21×35×371×44931
LCM(8986,8991) = 80793126

Factors of 8986

List of positive integer factors of 8986 that divides 8986 without a remainder.

1, 2, 4493, 8986

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 8986 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 8986 and 8991, than apply into the LCM equation.

GCF(8986,8991) = 1
LCM(8986,8991) = ( 8986 × 8991) / 1
LCM(8986,8991) = 80793126 / 1
LCM(8986,8991) = 80793126

Properties of LCM 8986 and 8991

(i) The LCM of 8991 and 8986 is associative

LCM of 8986 and 8991 = LCM of 8991 and 8986

Related Least Common Multiples of 8986

Related Least Common Multiples of 8991

Frequently Asked Questions on LCM of 8986 and 8991

1. What is the LCM of 8986 and 8991?

Answer: LCM of 8986 and 8991 is 80793126.

2. What are the Factors of 8986?

Answer: Factors of 8986 are 1, 2, 4493, 8986. There are 4 integers that are factors of 8986. The greatest factor of 8986 is 8986.

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 8986 and 8991?

Answer:

Least Common Multiple of 8986 and 8991 = 80793126

Step 1: Find the prime factorization of 8986

8986 = 2 x 4493

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 = 80793126 = 2 x 3 x 3 x 3 x 3 x 3 x 37 x 4493

Step 4: Therefore, the least common multiple of 8986 and 8991 is 80793126.