Least Common Multiple of 7990 and 7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7990 and 7996 the smallest integer that is 31944020 that is divisible by both numbers.

Least Common Multiple (LCM) of 7990 and 7996 is 31944020.

LCM(7990,7996) = 31944020

LCM of 7990 and 7996

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

LCM of:
and

Least Common Multiple of 7990 and 7996

LCM of 7990 and 7996 is 31944020

Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7996. First we will calculate the prime factors of 7990 and 7996.

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

Prime Factorization of 7996


2 7996
2 3998
1999 1999
1

Prime factors of 7996 are 2,1999. Prime factorization of 7996 in exponential form is:

7996 = 22×19991

Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7996.

LCM(7990,7996) = 22×51×171×471×19991
LCM(7990,7996) = 31944020

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

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1, 2, 4, 1999, 3998, 7996

Least Common Multiple of 7990 and 7996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7990 and 7996, than apply into the LCM equation.

GCF(7990,7996) = 2
LCM(7990,7996) = ( 7990 × 7996) / 2
LCM(7990,7996) = 63888040 / 2
LCM(7990,7996) = 31944020

Properties of LCM 7990 and 7996

(i) The LCM of 7996 and 7990 is associative

LCM of 7990 and 7996 = LCM of 7996 and 7990

Related Least Common Multiples of 7990

Related Least Common Multiples of 7996

Frequently Asked Questions on LCM of 7990 and 7996

1. What is the LCM of 7990 and 7996?

Answer: LCM of 7990 and 7996 is 31944020.

2. 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.

3. What are the Factors of 7996?

Answer: Factors of 7996 are 1, 2, 4, 1999, 3998, 7996. There are 6 integers that are factors of 7996. The greatest factor of 7996 is 7996.

4. How to Find the LCM of 7990 and 7996?

Answer:

Least Common Multiple of 7990 and 7996 = 31944020

Step 1: Find the prime factorization of 7990

7990 = 2 x 5 x 17 x 47

Step 2: Find the prime factorization of 7996

7996 = 2 x 2 x 1999

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

LCM = 31944020 = 2 x 2 x 5 x 17 x 47 x 1999

Step 4: Therefore, the least common multiple of 7990 and 7996 is 31944020.