Least Common Multiple of 8988 and 8993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8988 and 8993 the smallest integer that is 80829084 that is divisible by both numbers.

Least Common Multiple (LCM) of 8988 and 8993 is 80829084.

LCM(8988,8993) = 80829084

LCM of 8988 and 8993

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

LCM of:
and

Least Common Multiple of 8988 and 8993

LCM of 8988 and 8993 is 80829084

Least common multiple can be found by multiplying the highest exponent prime factors of 8988 and 8993. First we will calculate the prime factors of 8988 and 8993.

Prime Factorization of 8988


2 8988
2 4494
3 2247
7 749
107 107
1

Prime factors of 8988 are 2, 3, 7,107. Prime factorization of 8988 in exponential form is:

8988 = 22×31×71×1071

Prime Factorization of 8993


17 8993
23 529
23 23
1

Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:

8993 = 171×232

Now multiplying the highest exponent prime factors to calculate the LCM of 8988 and 8993.

LCM(8988,8993) = 22×31×71×171×232×1071
LCM(8988,8993) = 80829084

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1, 17, 23, 391, 529, 8993

Least Common Multiple of 8988 and 8993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8988 and 8993, than apply into the LCM equation.

GCF(8988,8993) = 1
LCM(8988,8993) = ( 8988 × 8993) / 1
LCM(8988,8993) = 80829084 / 1
LCM(8988,8993) = 80829084

Properties of LCM 8988 and 8993

(i) The LCM of 8993 and 8988 is associative

LCM of 8988 and 8993 = LCM of 8993 and 8988

Related Least Common Multiples of 8988

Related Least Common Multiples of 8993

Frequently Asked Questions on LCM of 8988 and 8993

1. What is the LCM of 8988 and 8993?

Answer: LCM of 8988 and 8993 is 80829084.

2. What are the Factors of 8988?

Answer: Factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. There are 24 integers that are factors of 8988. The greatest factor of 8988 is 8988.

3. What are the Factors of 8993?

Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.

4. How to Find the LCM of 8988 and 8993?

Answer:

Least Common Multiple of 8988 and 8993 = 80829084

Step 1: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

Step 2: Find the prime factorization of 8993

8993 = 17 x 23 x 23

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

LCM = 80829084 = 2 x 2 x 3 x 7 x 17 x 23 x 23 x 107

Step 4: Therefore, the least common multiple of 8988 and 8993 is 80829084.