Least Common Multiple of 7984 and 7989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7984 and 7989 the smallest integer that is 63784176 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7989 is 63784176.

LCM(7984,7989) = 63784176

LCM of 7984 and 7989

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

LCM of:
and

Least Common Multiple of 7984 and 7989

LCM of 7984 and 7989 is 63784176

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7989. First we will calculate the prime factors of 7984 and 7989.

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

Prime Factorization of 7989


3 7989
2663 2663
1

Prime factors of 7989 are 3,2663. Prime factorization of 7989 in exponential form is:

7989 = 31×26631

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7989.

LCM(7984,7989) = 24×31×4991×26631
LCM(7984,7989) = 63784176

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1, 3, 2663, 7989

Least Common Multiple of 7984 and 7989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7984 and 7989, than apply into the LCM equation.

GCF(7984,7989) = 1
LCM(7984,7989) = ( 7984 × 7989) / 1
LCM(7984,7989) = 63784176 / 1
LCM(7984,7989) = 63784176

Properties of LCM 7984 and 7989

(i) The LCM of 7989 and 7984 is associative

LCM of 7984 and 7989 = LCM of 7989 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7989

Frequently Asked Questions on LCM of 7984 and 7989

1. What is the LCM of 7984 and 7989?

Answer: LCM of 7984 and 7989 is 63784176.

2. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

3. What are the Factors of 7989?

Answer: Factors of 7989 are 1, 3, 2663, 7989. There are 4 integers that are factors of 7989. The greatest factor of 7989 is 7989.

4. How to Find the LCM of 7984 and 7989?

Answer:

Least Common Multiple of 7984 and 7989 = 63784176

Step 1: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 7989

7989 = 3 x 2663

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

LCM = 63784176 = 2 x 2 x 2 x 2 x 3 x 499 x 2663

Step 4: Therefore, the least common multiple of 7984 and 7989 is 63784176.