Least Common Multiple of 8090 and 8095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8090 and 8095 the smallest integer that is 13097710 that is divisible by both numbers.

Least Common Multiple (LCM) of 8090 and 8095 is 13097710.

LCM(8090,8095) = 13097710

LCM of 8090 and 8095

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

LCM of:
and

Least Common Multiple of 8090 and 8095

LCM of 8090 and 8095 is 13097710

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8095. First we will calculate the prime factors of 8090 and 8095.

Prime Factorization of 8090


2 8090
5 4045
809 809
1

Prime factors of 8090 are 2, 5,809. Prime factorization of 8090 in exponential form is:

8090 = 21×51×8091

Prime Factorization of 8095


5 8095
1619 1619
1

Prime factors of 8095 are 5,1619. Prime factorization of 8095 in exponential form is:

8095 = 51×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 8090 and 8095.

LCM(8090,8095) = 21×51×8091×16191
LCM(8090,8095) = 13097710

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1, 2, 5, 10, 809, 1618, 4045, 8090

Factors of 8095

List of positive integer factors of 8095 that divides 8095 without a remainder.

1, 5, 1619, 8095

Least Common Multiple of 8090 and 8095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8090 and 8095, than apply into the LCM equation.

GCF(8090,8095) = 5
LCM(8090,8095) = ( 8090 × 8095) / 5
LCM(8090,8095) = 65488550 / 5
LCM(8090,8095) = 13097710

Properties of LCM 8090 and 8095

(i) The LCM of 8095 and 8090 is associative

LCM of 8090 and 8095 = LCM of 8095 and 8090

Related Least Common Multiples of 8090

Related Least Common Multiples of 8095

Frequently Asked Questions on LCM of 8090 and 8095

1. What is the LCM of 8090 and 8095?

Answer: LCM of 8090 and 8095 is 13097710.

2. What are the Factors of 8090?

Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.

3. What are the Factors of 8095?

Answer: Factors of 8095 are 1, 5, 1619, 8095. There are 4 integers that are factors of 8095. The greatest factor of 8095 is 8095.

4. How to Find the LCM of 8090 and 8095?

Answer:

Least Common Multiple of 8090 and 8095 = 13097710

Step 1: Find the prime factorization of 8090

8090 = 2 x 5 x 809

Step 2: Find the prime factorization of 8095

8095 = 5 x 1619

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

LCM = 13097710 = 2 x 5 x 809 x 1619

Step 4: Therefore, the least common multiple of 8090 and 8095 is 13097710.