Least Common Multiple of 8083 and 8089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8083 and 8089 the smallest integer that is 65383387 that is divisible by both numbers.

Least Common Multiple (LCM) of 8083 and 8089 is 65383387.

LCM(8083,8089) = 65383387

LCM of 8083 and 8089

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

LCM of:
and

Least Common Multiple of 8083 and 8089

LCM of 8083 and 8089 is 65383387

Least common multiple can be found by multiplying the highest exponent prime factors of 8083 and 8089. First we will calculate the prime factors of 8083 and 8089.

Prime Factorization of 8083


59 8083
137 137
1

Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:

8083 = 591×1371

Prime Factorization of 8089


8089 8089
1

Prime factors of 8089 are 8089. Prime factorization of 8089 in exponential form is:

8089 = 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 8083 and 8089.

LCM(8083,8089) = 591×1371×80891
LCM(8083,8089) = 65383387

Factors of 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1, 59, 137, 8083

Factors of 8089

List of positive integer factors of 8089 that divides 8089 without a remainder.

1, 8089

Least Common Multiple of 8083 and 8089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8083 and 8089, than apply into the LCM equation.

GCF(8083,8089) = 1
LCM(8083,8089) = ( 8083 × 8089) / 1
LCM(8083,8089) = 65383387 / 1
LCM(8083,8089) = 65383387

Properties of LCM 8083 and 8089

(i) The LCM of 8089 and 8083 is associative

LCM of 8083 and 8089 = LCM of 8089 and 8083

Related Least Common Multiples of 8083

Related Least Common Multiples of 8089

Frequently Asked Questions on LCM of 8083 and 8089

1. What is the LCM of 8083 and 8089?

Answer: LCM of 8083 and 8089 is 65383387.

2. What are the Factors of 8083?

Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.

3. What are the Factors of 8089?

Answer: Factors of 8089 are 1, 8089. There are 2 integers that are factors of 8089. The greatest factor of 8089 is 8089.

4. How to Find the LCM of 8083 and 8089?

Answer:

Least Common Multiple of 8083 and 8089 = 65383387

Step 1: Find the prime factorization of 8083

8083 = 59 x 137

Step 2: Find the prime factorization of 8089

8089 = 8089

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

LCM = 65383387 = 59 x 137 x 8089

Step 4: Therefore, the least common multiple of 8083 and 8089 is 65383387.