Least Common Multiple of 8989 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 8989 and 8993 the smallest integer that is 80838077 that is divisible by both numbers.

Least Common Multiple (LCM) of 8989 and 8993 is 80838077.

LCM(8989,8993) = 80838077

LCM of 8989 and 8993

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

LCM of:
and

Least Common Multiple of 8989 and 8993

LCM of 8989 and 8993 is 80838077

Least common multiple can be found by multiplying the highest exponent prime factors of 8989 and 8993. First we will calculate the prime factors of 8989 and 8993.

Prime Factorization of 8989


89 8989
101 101
1

Prime factors of 8989 are 89,101. Prime factorization of 8989 in exponential form is:

8989 = 891×1011

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 8989 and 8993.

LCM(8989,8993) = 171×232×891×1011
LCM(8989,8993) = 80838077

Factors of 8989

List of positive integer factors of 8989 that divides 8989 without a remainder.

1, 89, 101, 8989

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 8989 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 8989 and 8993, than apply into the LCM equation.

GCF(8989,8993) = 1
LCM(8989,8993) = ( 8989 × 8993) / 1
LCM(8989,8993) = 80838077 / 1
LCM(8989,8993) = 80838077

Properties of LCM 8989 and 8993

(i) The LCM of 8993 and 8989 is associative

LCM of 8989 and 8993 = LCM of 8993 and 8989

Related Least Common Multiples of 8989

Related Least Common Multiples of 8993

Frequently Asked Questions on LCM of 8989 and 8993

1. What is the LCM of 8989 and 8993?

Answer: LCM of 8989 and 8993 is 80838077.

2. What are the Factors of 8989?

Answer: Factors of 8989 are 1, 89, 101, 8989. There are 4 integers that are factors of 8989. The greatest factor of 8989 is 8989.

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 8989 and 8993?

Answer:

Least Common Multiple of 8989 and 8993 = 80838077

Step 1: Find the prime factorization of 8989

8989 = 89 x 101

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 = 80838077 = 17 x 23 x 23 x 89 x 101

Step 4: Therefore, the least common multiple of 8989 and 8993 is 80838077.