Least Common Multiple of 982 and 987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 982 and 987 the smallest integer that is 969234 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 987 is 969234.

LCM(982,987) = 969234

LCM of 982 and 987

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

LCM of:
and

Least Common Multiple of 982 and 987

LCM of 982 and 987 is 969234

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 987. First we will calculate the prime factors of 982 and 987.

Prime Factorization of 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 982 and 987.

LCM(982,987) = 21×31×71×471×4911
LCM(982,987) = 969234

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Factors of 987

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

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

Least Common Multiple of 982 and 987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 982 and 987, than apply into the LCM equation.

GCF(982,987) = 1
LCM(982,987) = ( 982 × 987) / 1
LCM(982,987) = 969234 / 1
LCM(982,987) = 969234

Properties of LCM 982 and 987

(i) The LCM of 987 and 982 is associative

LCM of 982 and 987 = LCM of 987 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 987

Frequently Asked Questions on LCM of 982 and 987

1. What is the LCM of 982 and 987?

Answer: LCM of 982 and 987 is 969234.

2. What are the Factors of 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

3. 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.

4. How to Find the LCM of 982 and 987?

Answer:

Least Common Multiple of 982 and 987 = 969234

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 969234 = 2 x 3 x 7 x 47 x 491

Step 4: Therefore, the least common multiple of 982 and 987 is 969234.