Least Common Multiple of 989 and 991

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 991 the smallest integer that is 980099 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 991 is 980099.

LCM(989,991) = 980099

LCM of 989 and 991

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

LCM of:
and

Least Common Multiple of 989 and 991

LCM of 989 and 991 is 980099

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 991. First we will calculate the prime factors of 989 and 991.

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 991


991 991
1

Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:

991 = 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 991.

LCM(989,991) = 231×431×9911
LCM(989,991) = 980099

Factors of 989

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

1, 23, 43, 989

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1, 991

Least Common Multiple of 989 and 991 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 991, than apply into the LCM equation.

GCF(989,991) = 1
LCM(989,991) = ( 989 × 991) / 1
LCM(989,991) = 980099 / 1
LCM(989,991) = 980099

Properties of LCM 989 and 991

(i) The LCM of 991 and 989 is associative

LCM of 989 and 991 = LCM of 991 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 991

Frequently Asked Questions on LCM of 989 and 991

1. What is the LCM of 989 and 991?

Answer: LCM of 989 and 991 is 980099.

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 991?

Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.

4. How to Find the LCM of 989 and 991?

Answer:

Least Common Multiple of 989 and 991 = 980099

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 991

991 = 991

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

LCM = 980099 = 23 x 43 x 991

Step 4: Therefore, the least common multiple of 989 and 991 is 980099.