Least Common Multiple of 984 and 989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 984 and 989 the smallest integer that is 973176 that is divisible by both numbers.

Least Common Multiple (LCM) of 984 and 989 is 973176.

LCM(984,989) = 973176

LCM of 984 and 989

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

LCM of:
and

Least Common Multiple of 984 and 989

LCM of 984 and 989 is 973176

Least common multiple can be found by multiplying the highest exponent prime factors of 984 and 989. First we will calculate the prime factors of 984 and 989.

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

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 984 and 989.

LCM(984,989) = 23×31×231×411×431
LCM(984,989) = 973176

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

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Least Common Multiple of 984 and 989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 984 and 989, than apply into the LCM equation.

GCF(984,989) = 1
LCM(984,989) = ( 984 × 989) / 1
LCM(984,989) = 973176 / 1
LCM(984,989) = 973176

Properties of LCM 984 and 989

(i) The LCM of 989 and 984 is associative

LCM of 984 and 989 = LCM of 989 and 984

Related Least Common Multiples of 984

Related Least Common Multiples of 989

Frequently Asked Questions on LCM of 984 and 989

1. What is the LCM of 984 and 989?

Answer: LCM of 984 and 989 is 973176.

2. 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.

3. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

4. How to Find the LCM of 984 and 989?

Answer:

Least Common Multiple of 984 and 989 = 973176

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 989

989 = 23 x 43

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

LCM = 973176 = 2 x 2 x 2 x 3 x 23 x 41 x 43

Step 4: Therefore, the least common multiple of 984 and 989 is 973176.