Least Common Multiple of 7989 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 7989 and 7995 the smallest integer that is 21290685 that is divisible by both numbers.

Least Common Multiple (LCM) of 7989 and 7995 is 21290685.

LCM(7989,7995) = 21290685

LCM of 7989 and 7995

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

LCM of:
and

Least Common Multiple of 7989 and 7995

LCM of 7989 and 7995 is 21290685

Least common multiple can be found by multiplying the highest exponent prime factors of 7989 and 7995. First we will calculate the prime factors of 7989 and 7995.

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

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 7989 and 7995.

LCM(7989,7995) = 31×51×131×411×26631
LCM(7989,7995) = 21290685

Factors of 7989

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

1, 3, 2663, 7989

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 7989 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 7989 and 7995, than apply into the LCM equation.

GCF(7989,7995) = 3
LCM(7989,7995) = ( 7989 × 7995) / 3
LCM(7989,7995) = 63872055 / 3
LCM(7989,7995) = 21290685

Properties of LCM 7989 and 7995

(i) The LCM of 7995 and 7989 is associative

LCM of 7989 and 7995 = LCM of 7995 and 7989

Related Least Common Multiples of 7989

Related Least Common Multiples of 7995

Frequently Asked Questions on LCM of 7989 and 7995

1. What is the LCM of 7989 and 7995?

Answer: LCM of 7989 and 7995 is 21290685.

2. 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.

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 7989 and 7995?

Answer:

Least Common Multiple of 7989 and 7995 = 21290685

Step 1: Find the prime factorization of 7989

7989 = 3 x 2663

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 = 21290685 = 3 x 5 x 13 x 41 x 2663

Step 4: Therefore, the least common multiple of 7989 and 7995 is 21290685.