Least Common Multiple of 7990 and 7995

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 7995 the smallest integer that is 12776010 that is divisible by both numbers.

Least Common Multiple (LCM) of 7990 and 7995 is 12776010.

LCM(7990,7995) = 12776010

LCM of 7990 and 7995

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

LCM of:
and

Least Common Multiple of 7990 and 7995

LCM of 7990 and 7995 is 12776010

Least common multiple can be found by multiplying the highest exponent prime factors of 7990 and 7995. First we will calculate the prime factors of 7990 and 7995.

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 7995


3 7995
5 2665
13 533
41 41
1

Prime factors of 7995 are 3, 5, 13,41. Prime factorization of 7995 in exponential form is:

7995 = 31×51×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7990 and 7995.

LCM(7990,7995) = 21×31×51×131×171×411×471
LCM(7990,7995) = 12776010

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 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995

Least Common Multiple of 7990 and 7995 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 7995, than apply into the LCM equation.

GCF(7990,7995) = 5
LCM(7990,7995) = ( 7990 × 7995) / 5
LCM(7990,7995) = 63880050 / 5
LCM(7990,7995) = 12776010

Properties of LCM 7990 and 7995

(i) The LCM of 7995 and 7990 is associative

LCM of 7990 and 7995 = LCM of 7995 and 7990

Related Least Common Multiples of 7990

Related Least Common Multiples of 7995

Frequently Asked Questions on LCM of 7990 and 7995

1. What is the LCM of 7990 and 7995?

Answer: LCM of 7990 and 7995 is 12776010.

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 7995?

Answer: Factors of 7995 are 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995. There are 16 integers that are factors of 7995. The greatest factor of 7995 is 7995.

4. How to Find the LCM of 7990 and 7995?

Answer:

Least Common Multiple of 7990 and 7995 = 12776010

Step 1: Find the prime factorization of 7990

7990 = 2 x 5 x 17 x 47

Step 2: Find the prime factorization of 7995

7995 = 3 x 5 x 13 x 41

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

LCM = 12776010 = 2 x 3 x 5 x 13 x 17 x 41 x 47

Step 4: Therefore, the least common multiple of 7990 and 7995 is 12776010.