Least Common Multiple of 8993 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 8993 and 8998 the smallest integer that is 80919014 that is divisible by both numbers.

Least Common Multiple (LCM) of 8993 and 8998 is 80919014.

LCM(8993,8998) = 80919014

LCM of 8993 and 8998

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

LCM of:
and

Least Common Multiple of 8993 and 8998

LCM of 8993 and 8998 is 80919014

Least common multiple can be found by multiplying the highest exponent prime factors of 8993 and 8998. First we will calculate the prime factors of 8993 and 8998.

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

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 8993 and 8998.

LCM(8993,8998) = 21×111×171×232×4091
LCM(8993,8998) = 80919014

Factors of 8993

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

1, 17, 23, 391, 529, 8993

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 8993 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 8993 and 8998, than apply into the LCM equation.

GCF(8993,8998) = 1
LCM(8993,8998) = ( 8993 × 8998) / 1
LCM(8993,8998) = 80919014 / 1
LCM(8993,8998) = 80919014

Properties of LCM 8993 and 8998

(i) The LCM of 8998 and 8993 is associative

LCM of 8993 and 8998 = LCM of 8998 and 8993

Related Least Common Multiples of 8993

Related Least Common Multiples of 8998

Frequently Asked Questions on LCM of 8993 and 8998

1. What is the LCM of 8993 and 8998?

Answer: LCM of 8993 and 8998 is 80919014.

2. 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.

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 8993 and 8998?

Answer:

Least Common Multiple of 8993 and 8998 = 80919014

Step 1: Find the prime factorization of 8993

8993 = 17 x 23 x 23

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 = 80919014 = 2 x 11 x 17 x 23 x 23 x 409

Step 4: Therefore, the least common multiple of 8993 and 8998 is 80919014.