Least Common Multiple of 983 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 983 and 984 the smallest integer that is 967272 that is divisible by both numbers.

Least Common Multiple (LCM) of 983 and 984 is 967272.

LCM(983,984) = 967272

LCM of 983 and 984

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

LCM of:
and

Least Common Multiple of 983 and 984

LCM of 983 and 984 is 967272

Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 984. First we will calculate the prime factors of 983 and 984.

Prime Factorization of 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

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 983 and 984.

LCM(983,984) = 23×31×411×9831
LCM(983,984) = 967272

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1, 983

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 983 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 983 and 984, than apply into the LCM equation.

GCF(983,984) = 1
LCM(983,984) = ( 983 × 984) / 1
LCM(983,984) = 967272 / 1
LCM(983,984) = 967272

Properties of LCM 983 and 984

(i) The LCM of 984 and 983 is associative

LCM of 983 and 984 = LCM of 984 and 983

Related Least Common Multiples of 983

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 983 and 984

1. What is the LCM of 983 and 984?

Answer: LCM of 983 and 984 is 967272.

2. What are the Factors of 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

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 983 and 984?

Answer:

Least Common Multiple of 983 and 984 = 967272

Step 1: Find the prime factorization of 983

983 = 983

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 = 967272 = 2 x 2 x 2 x 3 x 41 x 983

Step 4: Therefore, the least common multiple of 983 and 984 is 967272.