Least Common Multiple of 988 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 988 and 993 the smallest integer that is 981084 that is divisible by both numbers.

Least Common Multiple (LCM) of 988 and 993 is 981084.

LCM(988,993) = 981084

LCM of 988 and 993

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

LCM of:
and

Least Common Multiple of 988 and 993

LCM of 988 and 993 is 981084

Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 993. First we will calculate the prime factors of 988 and 993.

Prime Factorization of 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

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 988 and 993.

LCM(988,993) = 22×31×131×191×3311
LCM(988,993) = 981084

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Factors of 993

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

1, 3, 331, 993

Least Common Multiple of 988 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 988 and 993, than apply into the LCM equation.

GCF(988,993) = 1
LCM(988,993) = ( 988 × 993) / 1
LCM(988,993) = 981084 / 1
LCM(988,993) = 981084

Properties of LCM 988 and 993

(i) The LCM of 993 and 988 is associative

LCM of 988 and 993 = LCM of 993 and 988

Related Least Common Multiples of 988

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 988 and 993

1. What is the LCM of 988 and 993?

Answer: LCM of 988 and 993 is 981084.

2. What are the Factors of 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

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 988 and 993?

Answer:

Least Common Multiple of 988 and 993 = 981084

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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 = 981084 = 2 x 2 x 3 x 13 x 19 x 331

Step 4: Therefore, the least common multiple of 988 and 993 is 981084.