Least Common Multiple of 991 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 991 and 993 the smallest integer that is 984063 that is divisible by both numbers.

Least Common Multiple (LCM) of 991 and 993 is 984063.

LCM(991,993) = 984063

LCM of 991 and 993

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

LCM of:
and

Least Common Multiple of 991 and 993

LCM of 991 and 993 is 984063

Least common multiple can be found by multiplying the highest exponent prime factors of 991 and 993. First we will calculate the prime factors of 991 and 993.

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 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 991 and 993.

LCM(991,993) = 31×3311×9911
LCM(991,993) = 984063

Factors of 991

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

1, 991

Factors of 993

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

1, 3, 331, 993

Least Common Multiple of 991 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 991 and 993, than apply into the LCM equation.

GCF(991,993) = 1
LCM(991,993) = ( 991 × 993) / 1
LCM(991,993) = 984063 / 1
LCM(991,993) = 984063

Properties of LCM 991 and 993

(i) The LCM of 993 and 991 is associative

LCM of 991 and 993 = LCM of 993 and 991

Related Least Common Multiples of 991

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 991 and 993

1. What is the LCM of 991 and 993?

Answer: LCM of 991 and 993 is 984063.

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 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 991 and 993?

Answer:

Least Common Multiple of 991 and 993 = 984063

Step 1: Find the prime factorization of 991

991 = 991

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 = 984063 = 3 x 331 x 991

Step 4: Therefore, the least common multiple of 991 and 993 is 984063.