Least Common Multiple of 7984 and 7990

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 7990 the smallest integer that is 31896080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7984 and 7990 is 31896080.

LCM(7984,7990) = 31896080

LCM of 7984 and 7990

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

LCM of:
and

Least Common Multiple of 7984 and 7990

LCM of 7984 and 7990 is 31896080

Least common multiple can be found by multiplying the highest exponent prime factors of 7984 and 7990. First we will calculate the prime factors of 7984 and 7990.

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 7990


2 7990
5 3995
17 799
47 47
1

Prime factors of 7990 are 2, 5, 17,47. Prime factorization of 7990 in exponential form is:

7990 = 21×51×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7984 and 7990.

LCM(7984,7990) = 24×51×171×471×4991
LCM(7984,7990) = 31896080

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 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990

Least Common Multiple of 7984 and 7990 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 7990, than apply into the LCM equation.

GCF(7984,7990) = 2
LCM(7984,7990) = ( 7984 × 7990) / 2
LCM(7984,7990) = 63792160 / 2
LCM(7984,7990) = 31896080

Properties of LCM 7984 and 7990

(i) The LCM of 7990 and 7984 is associative

LCM of 7984 and 7990 = LCM of 7990 and 7984

Related Least Common Multiples of 7984

Related Least Common Multiples of 7990

Frequently Asked Questions on LCM of 7984 and 7990

1. What is the LCM of 7984 and 7990?

Answer: LCM of 7984 and 7990 is 31896080.

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 7990?

Answer: Factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990. There are 16 integers that are factors of 7990. The greatest factor of 7990 is 7990.

4. How to Find the LCM of 7984 and 7990?

Answer:

Least Common Multiple of 7984 and 7990 = 31896080

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 7990

7990 = 2 x 5 x 17 x 47

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

LCM = 31896080 = 2 x 2 x 2 x 2 x 5 x 17 x 47 x 499

Step 4: Therefore, the least common multiple of 7984 and 7990 is 31896080.