Least Common Multiple of 8984 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 8984 and 8991 the smallest integer that is 80775144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8984 and 8991 is 80775144.

LCM(8984,8991) = 80775144

LCM of 8984 and 8991

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

LCM of:
and

Least Common Multiple of 8984 and 8991

LCM of 8984 and 8991 is 80775144

Least common multiple can be found by multiplying the highest exponent prime factors of 8984 and 8991. First we will calculate the prime factors of 8984 and 8991.

Prime Factorization of 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

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 8984 and 8991.

LCM(8984,8991) = 23×35×371×11231
LCM(8984,8991) = 80775144

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1, 2, 4, 8, 1123, 2246, 4492, 8984

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 8984 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 8984 and 8991, than apply into the LCM equation.

GCF(8984,8991) = 1
LCM(8984,8991) = ( 8984 × 8991) / 1
LCM(8984,8991) = 80775144 / 1
LCM(8984,8991) = 80775144

Properties of LCM 8984 and 8991

(i) The LCM of 8991 and 8984 is associative

LCM of 8984 and 8991 = LCM of 8991 and 8984

Related Least Common Multiples of 8984

Related Least Common Multiples of 8991

Frequently Asked Questions on LCM of 8984 and 8991

1. What is the LCM of 8984 and 8991?

Answer: LCM of 8984 and 8991 is 80775144.

2. What are the Factors of 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

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 8984 and 8991?

Answer:

Least Common Multiple of 8984 and 8991 = 80775144

Step 1: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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 = 80775144 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 37 x 1123

Step 4: Therefore, the least common multiple of 8984 and 8991 is 80775144.