Least Common Multiple of 982 and 984

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 984 the smallest integer that is 483144 that is divisible by both numbers.

Least Common Multiple (LCM) of 982 and 984 is 483144.

LCM(982,984) = 483144

LCM of 982 and 984

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

LCM of:
and

Least Common Multiple of 982 and 984

LCM of 982 and 984 is 483144

Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 984. First we will calculate the prime factors of 982 and 984.

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 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 982 and 984.

LCM(982,984) = 23×31×411×4911
LCM(982,984) = 483144

Factors of 982

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

1, 2, 491, 982

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Least Common Multiple of 982 and 984 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 984, than apply into the LCM equation.

GCF(982,984) = 2
LCM(982,984) = ( 982 × 984) / 2
LCM(982,984) = 966288 / 2
LCM(982,984) = 483144

Properties of LCM 982 and 984

(i) The LCM of 984 and 982 is associative

LCM of 982 and 984 = LCM of 984 and 982

Related Least Common Multiples of 982

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 982 and 984

1. What is the LCM of 982 and 984?

Answer: LCM of 982 and 984 is 483144.

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 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the LCM of 982 and 984?

Answer:

Least Common Multiple of 982 and 984 = 483144

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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

LCM = 483144 = 2 x 2 x 2 x 3 x 41 x 491

Step 4: Therefore, the least common multiple of 982 and 984 is 483144.