Least Common Multiple of 8987 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 8987 and 8991 the smallest integer that is 80802117 that is divisible by both numbers.

Least Common Multiple (LCM) of 8987 and 8991 is 80802117.

LCM(8987,8991) = 80802117

LCM of 8987 and 8991

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

LCM of:
and

Least Common Multiple of 8987 and 8991

LCM of 8987 and 8991 is 80802117

Least common multiple can be found by multiplying the highest exponent prime factors of 8987 and 8991. First we will calculate the prime factors of 8987 and 8991.

Prime Factorization of 8987


11 8987
19 817
43 43
1

Prime factors of 8987 are 11, 19,43. Prime factorization of 8987 in exponential form is:

8987 = 111×191×431

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 8987 and 8991.

LCM(8987,8991) = 35×111×191×371×431
LCM(8987,8991) = 80802117

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1, 11, 19, 43, 209, 473, 817, 8987

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 8987 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 8987 and 8991, than apply into the LCM equation.

GCF(8987,8991) = 1
LCM(8987,8991) = ( 8987 × 8991) / 1
LCM(8987,8991) = 80802117 / 1
LCM(8987,8991) = 80802117

Properties of LCM 8987 and 8991

(i) The LCM of 8991 and 8987 is associative

LCM of 8987 and 8991 = LCM of 8991 and 8987

Related Least Common Multiples of 8987

Related Least Common Multiples of 8991

Frequently Asked Questions on LCM of 8987 and 8991

1. What is the LCM of 8987 and 8991?

Answer: LCM of 8987 and 8991 is 80802117.

2. What are the Factors of 8987?

Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.

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 8987 and 8991?

Answer:

Least Common Multiple of 8987 and 8991 = 80802117

Step 1: Find the prime factorization of 8987

8987 = 11 x 19 x 43

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 = 80802117 = 3 x 3 x 3 x 3 x 3 x 11 x 19 x 37 x 43

Step 4: Therefore, the least common multiple of 8987 and 8991 is 80802117.