Least Common Multiple of 988 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 988 and 991 the smallest integer that is 979108 that is divisible by both numbers.

Least Common Multiple (LCM) of 988 and 991 is 979108.

LCM(988,991) = 979108

LCM of 988 and 991

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

LCM of:
and

Least Common Multiple of 988 and 991

LCM of 988 and 991 is 979108

Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 991. First we will calculate the prime factors of 988 and 991.

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 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 988 and 991.

LCM(988,991) = 22×131×191×9911
LCM(988,991) = 979108

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 991

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

1, 991

Least Common Multiple of 988 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 988 and 991, than apply into the LCM equation.

GCF(988,991) = 1
LCM(988,991) = ( 988 × 991) / 1
LCM(988,991) = 979108 / 1
LCM(988,991) = 979108

Properties of LCM 988 and 991

(i) The LCM of 991 and 988 is associative

LCM of 988 and 991 = LCM of 991 and 988

Related Least Common Multiples of 988

Related Least Common Multiples of 991

Frequently Asked Questions on LCM of 988 and 991

1. What is the LCM of 988 and 991?

Answer: LCM of 988 and 991 is 979108.

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 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 988 and 991?

Answer:

Least Common Multiple of 988 and 991 = 979108

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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 = 979108 = 2 x 2 x 13 x 19 x 991

Step 4: Therefore, the least common multiple of 988 and 991 is 979108.