Least Common Multiple of 987 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 987 and 991 the smallest integer that is 978117 that is divisible by both numbers.

Least Common Multiple (LCM) of 987 and 991 is 978117.

LCM(987,991) = 978117

LCM of 987 and 991

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

LCM of:
and

Least Common Multiple of 987 and 991

LCM of 987 and 991 is 978117

Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 991. First we will calculate the prime factors of 987 and 991.

Prime Factorization of 987


3 987
7 329
47 47
1

Prime factors of 987 are 3, 7,47. Prime factorization of 987 in exponential form is:

987 = 31×71×471

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 987 and 991.

LCM(987,991) = 31×71×471×9911
LCM(987,991) = 978117

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Factors of 991

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

1, 991

Least Common Multiple of 987 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 987 and 991, than apply into the LCM equation.

GCF(987,991) = 1
LCM(987,991) = ( 987 × 991) / 1
LCM(987,991) = 978117 / 1
LCM(987,991) = 978117

Properties of LCM 987 and 991

(i) The LCM of 991 and 987 is associative

LCM of 987 and 991 = LCM of 991 and 987

Related Least Common Multiples of 987

Related Least Common Multiples of 991

Frequently Asked Questions on LCM of 987 and 991

1. What is the LCM of 987 and 991?

Answer: LCM of 987 and 991 is 978117.

2. What are the Factors of 987?

Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.

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 987 and 991?

Answer:

Least Common Multiple of 987 and 991 = 978117

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

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 = 978117 = 3 x 7 x 47 x 991

Step 4: Therefore, the least common multiple of 987 and 991 is 978117.