Least Common Multiple of 986 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 986 and 987 the smallest integer that is 973182 that is divisible by both numbers.

Least Common Multiple (LCM) of 986 and 987 is 973182.

LCM(986,987) = 973182

LCM of 986 and 987

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

LCM of:
and

Least Common Multiple of 986 and 987

LCM of 986 and 987 is 973182

Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 987. First we will calculate the prime factors of 986 and 987.

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

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 986 and 987.

LCM(986,987) = 21×31×71×171×291×471
LCM(986,987) = 973182

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 986 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 986 and 987, than apply into the LCM equation.

GCF(986,987) = 1
LCM(986,987) = ( 986 × 987) / 1
LCM(986,987) = 973182 / 1
LCM(986,987) = 973182

Properties of LCM 986 and 987

(i) The LCM of 987 and 986 is associative

LCM of 986 and 987 = LCM of 987 and 986

Related Least Common Multiples of 986

Related Least Common Multiples of 987

Frequently Asked Questions on LCM of 986 and 987

1. What is the LCM of 986 and 987?

Answer: LCM of 986 and 987 is 973182.

2. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

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 986 and 987?

Answer:

Least Common Multiple of 986 and 987 = 973182

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

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 = 973182 = 2 x 3 x 7 x 17 x 29 x 47

Step 4: Therefore, the least common multiple of 986 and 987 is 973182.