Least Common Multiple of 8083 and 8090

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 8090 the smallest integer that is 65391470 that is divisible by both numbers.

Least Common Multiple (LCM) of 8083 and 8090 is 65391470.

LCM(8083,8090) = 65391470

LCM of 8083 and 8090

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

LCM of:
and

Least Common Multiple of 8083 and 8090

LCM of 8083 and 8090 is 65391470

Least common multiple can be found by multiplying the highest exponent prime factors of 8083 and 8090. First we will calculate the prime factors of 8083 and 8090.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8083 and 8090.

LCM(8083,8090) = 21×51×591×1371×8091
LCM(8083,8090) = 65391470

Factors of 8083

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

1, 59, 137, 8083

Factors of 8090

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

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

Least Common Multiple of 8083 and 8090 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 8090, than apply into the LCM equation.

GCF(8083,8090) = 1
LCM(8083,8090) = ( 8083 × 8090) / 1
LCM(8083,8090) = 65391470 / 1
LCM(8083,8090) = 65391470

Properties of LCM 8083 and 8090

(i) The LCM of 8090 and 8083 is associative

LCM of 8083 and 8090 = LCM of 8090 and 8083

Related Least Common Multiples of 8083

Related Least Common Multiples of 8090

Frequently Asked Questions on LCM of 8083 and 8090

1. What is the LCM of 8083 and 8090?

Answer: LCM of 8083 and 8090 is 65391470.

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 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.

4. How to Find the LCM of 8083 and 8090?

Answer:

Least Common Multiple of 8083 and 8090 = 65391470

Step 1: Find the prime factorization of 8083

8083 = 59 x 137

Step 2: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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

LCM = 65391470 = 2 x 5 x 59 x 137 x 809

Step 4: Therefore, the least common multiple of 8083 and 8090 is 65391470.