Least Common Multiple of 989 and 997

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 997 the smallest integer that is 986033 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 997 is 986033.

LCM(989,997) = 986033

LCM of 989 and 997

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

LCM of:
and

Least Common Multiple of 989 and 997

LCM of 989 and 997 is 986033

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 997. First we will calculate the prime factors of 989 and 997.

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 997


997 997
1

Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:

997 = 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 997.

LCM(989,997) = 231×431×9971
LCM(989,997) = 986033

Factors of 989

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

1, 23, 43, 989

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1, 997

Least Common Multiple of 989 and 997 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 997, than apply into the LCM equation.

GCF(989,997) = 1
LCM(989,997) = ( 989 × 997) / 1
LCM(989,997) = 986033 / 1
LCM(989,997) = 986033

Properties of LCM 989 and 997

(i) The LCM of 997 and 989 is associative

LCM of 989 and 997 = LCM of 997 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 997

Frequently Asked Questions on LCM of 989 and 997

1. What is the LCM of 989 and 997?

Answer: LCM of 989 and 997 is 986033.

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 997?

Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.

4. How to Find the LCM of 989 and 997?

Answer:

Least Common Multiple of 989 and 997 = 986033

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 997

997 = 997

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

LCM = 986033 = 23 x 43 x 997

Step 4: Therefore, the least common multiple of 989 and 997 is 986033.