Least Common Multiple of 8991 and 8998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8991 and 8998 the smallest integer that is 80901018 that is divisible by both numbers.

Least Common Multiple (LCM) of 8991 and 8998 is 80901018.

LCM(8991,8998) = 80901018

LCM of 8991 and 8998

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

LCM of:
and

Least Common Multiple of 8991 and 8998

LCM of 8991 and 8998 is 80901018

Least common multiple can be found by multiplying the highest exponent prime factors of 8991 and 8998. First we will calculate the prime factors of 8991 and 8998.

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

Prime Factorization of 8998


2 8998
11 4499
409 409
1

Prime factors of 8998 are 2, 11,409. Prime factorization of 8998 in exponential form is:

8998 = 21×111×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 8991 and 8998.

LCM(8991,8998) = 21×35×111×371×4091
LCM(8991,8998) = 80901018

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

Factors of 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1, 2, 11, 22, 409, 818, 4499, 8998

Least Common Multiple of 8991 and 8998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8991 and 8998, than apply into the LCM equation.

GCF(8991,8998) = 1
LCM(8991,8998) = ( 8991 × 8998) / 1
LCM(8991,8998) = 80901018 / 1
LCM(8991,8998) = 80901018

Properties of LCM 8991 and 8998

(i) The LCM of 8998 and 8991 is associative

LCM of 8991 and 8998 = LCM of 8998 and 8991

Related Least Common Multiples of 8991

Related Least Common Multiples of 8998

Frequently Asked Questions on LCM of 8991 and 8998

1. What is the LCM of 8991 and 8998?

Answer: LCM of 8991 and 8998 is 80901018.

2. 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.

3. What are the Factors of 8998?

Answer: Factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998. There are 8 integers that are factors of 8998. The greatest factor of 8998 is 8998.

4. How to Find the LCM of 8991 and 8998?

Answer:

Least Common Multiple of 8991 and 8998 = 80901018

Step 1: Find the prime factorization of 8991

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

Step 2: Find the prime factorization of 8998

8998 = 2 x 11 x 409

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

LCM = 80901018 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 37 x 409

Step 4: Therefore, the least common multiple of 8991 and 8998 is 80901018.