Least Common Multiple of 8087 and 8093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8087 and 8093 the smallest integer that is 65448091 that is divisible by both numbers.

Least Common Multiple (LCM) of 8087 and 8093 is 65448091.

LCM(8087,8093) = 65448091

LCM of 8087 and 8093

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

LCM of:
and

Least Common Multiple of 8087 and 8093

LCM of 8087 and 8093 is 65448091

Least common multiple can be found by multiplying the highest exponent prime factors of 8087 and 8093. First we will calculate the prime factors of 8087 and 8093.

Prime Factorization of 8087


8087 8087
1

Prime factors of 8087 are 8087. Prime factorization of 8087 in exponential form is:

8087 = 80871

Prime Factorization of 8093


8093 8093
1

Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:

8093 = 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 8087 and 8093.

LCM(8087,8093) = 80871×80931
LCM(8087,8093) = 65448091

Factors of 8087

List of positive integer factors of 8087 that divides 8087 without a remainder.

1, 8087

Factors of 8093

List of positive integer factors of 8093 that divides 8093 without a remainder.

1, 8093

Least Common Multiple of 8087 and 8093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8087 and 8093, than apply into the LCM equation.

GCF(8087,8093) = 1
LCM(8087,8093) = ( 8087 × 8093) / 1
LCM(8087,8093) = 65448091 / 1
LCM(8087,8093) = 65448091

Properties of LCM 8087 and 8093

(i) The LCM of 8093 and 8087 is associative

LCM of 8087 and 8093 = LCM of 8093 and 8087

Related Least Common Multiples of 8087

Related Least Common Multiples of 8093

Frequently Asked Questions on LCM of 8087 and 8093

1. What is the LCM of 8087 and 8093?

Answer: LCM of 8087 and 8093 is 65448091.

2. What are the Factors of 8087?

Answer: Factors of 8087 are 1, 8087. There are 2 integers that are factors of 8087. The greatest factor of 8087 is 8087.

3. What are the Factors of 8093?

Answer: Factors of 8093 are 1, 8093. There are 2 integers that are factors of 8093. The greatest factor of 8093 is 8093.

4. How to Find the LCM of 8087 and 8093?

Answer:

Least Common Multiple of 8087 and 8093 = 65448091

Step 1: Find the prime factorization of 8087

8087 = 8087

Step 2: Find the prime factorization of 8093

8093 = 8093

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

LCM = 65448091 = 8087 x 8093

Step 4: Therefore, the least common multiple of 8087 and 8093 is 65448091.