Least Common Multiple of 982 and 986

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 986 the smallest integer that is 484126 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 986 is 484126.

LCM(982,986) = 484126

LCM of 982 and 986

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

LCM of:
and

Least Common Multiple of 982 and 986

LCM of 982 and 986 is 484126

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 986. First we will calculate the prime factors of 982 and 986.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 982 and 986.

LCM(982,986) = 21×171×291×4911
LCM(982,986) = 484126

Factors of 982

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

1, 2, 491, 982

Factors of 986

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

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

Least Common Multiple of 982 and 986 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 986, than apply into the LCM equation.

GCF(982,986) = 2
LCM(982,986) = ( 982 × 986) / 2
LCM(982,986) = 968252 / 2
LCM(982,986) = 484126

Properties of LCM 982 and 986

(i) The LCM of 986 and 982 is associative

LCM of 982 and 986 = LCM of 986 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 986

Frequently Asked Questions on LCM of 982 and 986

1. What is the LCM of 982 and 986?

Answer: LCM of 982 and 986 is 484126.

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 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.

4. How to Find the LCM of 982 and 986?

Answer:

Least Common Multiple of 982 and 986 = 484126

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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

LCM = 484126 = 2 x 17 x 29 x 491

Step 4: Therefore, the least common multiple of 982 and 986 is 484126.