Least Common Multiple of 991 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 991 and 997 the smallest integer that is 988027 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 997 is 988027.

LCM(991,997) = 988027

LCM of 991 and 997

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

LCM of:
and

Least Common Multiple of 991 and 997

LCM of 991 and 997 is 988027

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 997. First we will calculate the prime factors of 991 and 997.

Prime Factorization of 991


991 991
1

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

991 = 9911

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 991 and 997.

LCM(991,997) = 9911×9971
LCM(991,997) = 988027

Factors of 991

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

1, 991

Factors of 997

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

1, 997

Least Common Multiple of 991 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 991 and 997, than apply into the LCM equation.

GCF(991,997) = 1
LCM(991,997) = ( 991 × 997) / 1
LCM(991,997) = 988027 / 1
LCM(991,997) = 988027

Properties of LCM 991 and 997

(i) The LCM of 997 and 991 is associative

LCM of 991 and 997 = LCM of 997 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 997

Frequently Asked Questions on LCM of 991 and 997

1. What is the LCM of 991 and 997?

Answer: LCM of 991 and 997 is 988027.

2. 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.

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 991 and 997?

Answer:

Least Common Multiple of 991 and 997 = 988027

Step 1: Find the prime factorization of 991

991 = 991

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 = 988027 = 991 x 997

Step 4: Therefore, the least common multiple of 991 and 997 is 988027.