Least Common Multiple of 987 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 987 and 993 the smallest integer that is 326697 that is divisible by both numbers.

Least Common Multiple (LCM) of 987 and 993 is 326697.

LCM(987,993) = 326697

LCM of 987 and 993

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

LCM of:
and

Least Common Multiple of 987 and 993

LCM of 987 and 993 is 326697

Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 993. First we will calculate the prime factors of 987 and 993.

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 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 987 and 993.

LCM(987,993) = 31×71×471×3311
LCM(987,993) = 326697

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 993

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

1, 3, 331, 993

Least Common Multiple of 987 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 987 and 993, than apply into the LCM equation.

GCF(987,993) = 3
LCM(987,993) = ( 987 × 993) / 3
LCM(987,993) = 980091 / 3
LCM(987,993) = 326697

Properties of LCM 987 and 993

(i) The LCM of 993 and 987 is associative

LCM of 987 and 993 = LCM of 993 and 987

Related Least Common Multiples of 987

Related Least Common Multiples of 993

Frequently Asked Questions on LCM of 987 and 993

1. What is the LCM of 987 and 993?

Answer: LCM of 987 and 993 is 326697.

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 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 987 and 993?

Answer:

Least Common Multiple of 987 and 993 = 326697

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

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 = 326697 = 3 x 7 x 47 x 331

Step 4: Therefore, the least common multiple of 987 and 993 is 326697.