Least Common Multiple of 989 and 993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 989 and 993 the smallest integer that is 982077 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 993 is 982077.

LCM(989,993) = 982077

LCM of 989 and 993

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

LCM of:
and

Least Common Multiple of 989 and 993

LCM of 989 and 993 is 982077

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 993. First we will calculate the prime factors of 989 and 993.

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 993.

LCM(989,993) = 31×231×431×3311
LCM(989,993) = 982077

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Least Common Multiple of 989 and 993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 989 and 993, than apply into the LCM equation.

GCF(989,993) = 1
LCM(989,993) = ( 989 × 993) / 1
LCM(989,993) = 982077 / 1
LCM(989,993) = 982077

Properties of LCM 989 and 993

(i) The LCM of 993 and 989 is associative

LCM of 989 and 993 = LCM of 993 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 989 and 993

1. What is the LCM of 989 and 993?

Answer: LCM of 989 and 993 is 982077.

2. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

3. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

4. How to Find the LCM of 989 and 993?

Answer:

Least Common Multiple of 989 and 993 = 982077

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 993

993 = 3 x 331

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

LCM = 982077 = 3 x 23 x 43 x 331

Step 4: Therefore, the least common multiple of 989 and 993 is 982077.