Least Common Multiple of 7990 and 7994

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 7994 the smallest integer that is 31936030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7990 and 7994 is 31936030.

LCM(7990,7994) = 31936030

LCM of 7990 and 7994

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

LCM of:
and

Least Common Multiple of 7990 and 7994

LCM of 7990 and 7994 is 31936030

Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7994. First we will calculate the prime factors of 7990 and 7994.

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 7994


2 7994
7 3997
571 571
1

Prime factors of 7994 are 2, 7,571. Prime factorization of 7994 in exponential form is:

7994 = 21×71×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7994.

LCM(7990,7994) = 21×51×71×171×471×5711
LCM(7990,7994) = 31936030

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 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1, 2, 7, 14, 571, 1142, 3997, 7994

Least Common Multiple of 7990 and 7994 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 7994, than apply into the LCM equation.

GCF(7990,7994) = 2
LCM(7990,7994) = ( 7990 × 7994) / 2
LCM(7990,7994) = 63872060 / 2
LCM(7990,7994) = 31936030

Properties of LCM 7990 and 7994

(i) The LCM of 7994 and 7990 is associative

LCM of 7990 and 7994 = LCM of 7994 and 7990

Related Least Common Multiples of 7990

Related Least Common Multiples of 7994

Frequently Asked Questions on LCM of 7990 and 7994

1. What is the LCM of 7990 and 7994?

Answer: LCM of 7990 and 7994 is 31936030.

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 7994?

Answer: Factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994. There are 8 integers that are factors of 7994. The greatest factor of 7994 is 7994.

4. How to Find the LCM of 7990 and 7994?

Answer:

Least Common Multiple of 7990 and 7994 = 31936030

Step 1: Find the prime factorization of 7990

7990 = 2 x 5 x 17 x 47

Step 2: Find the prime factorization of 7994

7994 = 2 x 7 x 571

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

LCM = 31936030 = 2 x 5 x 7 x 17 x 47 x 571

Step 4: Therefore, the least common multiple of 7990 and 7994 is 31936030.