Least Common Multiple of 5083 and 5090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5083 and 5090 the smallest integer that is 25872470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5083 and 5090 is 25872470.

LCM(5083,5090) = 25872470

LCM of 5083 and 5090

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

LCM of:
and

Least Common Multiple of 5083 and 5090

LCM of 5083 and 5090 is 25872470

Least common multiple can be found by multiplying the highest exponent prime factors of 5083 and 5090. First we will calculate the prime factors of 5083 and 5090.

Prime Factorization of 5083


13 5083
17 391
23 23
1

Prime factors of 5083 are 13, 17,23. Prime factorization of 5083 in exponential form is:

5083 = 131×171×231

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2, 5,509. Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 5083 and 5090.

LCM(5083,5090) = 21×51×131×171×231×5091
LCM(5083,5090) = 25872470

Factors of 5083

List of positive integer factors of 5083 that divides 5083 without a remainder.

1, 13, 17, 23, 221, 299, 391, 5083

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1, 2, 5, 10, 509, 1018, 2545, 5090

Least Common Multiple of 5083 and 5090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5083 and 5090, than apply into the LCM equation.

GCF(5083,5090) = 1
LCM(5083,5090) = ( 5083 × 5090) / 1
LCM(5083,5090) = 25872470 / 1
LCM(5083,5090) = 25872470

Properties of LCM 5083 and 5090

(i) The LCM of 5090 and 5083 is associative

LCM of 5083 and 5090 = LCM of 5090 and 5083

Related Least Common Multiples of 5083

Related Least Common Multiples of 5090

Frequently Asked Questions on LCM of 5083 and 5090

1. What is the LCM of 5083 and 5090?

Answer: LCM of 5083 and 5090 is 25872470.

2. What are the Factors of 5083?

Answer: Factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083. There are 8 integers that are factors of 5083. The greatest factor of 5083 is 5083.

3. What are the Factors of 5090?

Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.

4. How to Find the LCM of 5083 and 5090?

Answer:

Least Common Multiple of 5083 and 5090 = 25872470

Step 1: Find the prime factorization of 5083

5083 = 13 x 17 x 23

Step 2: Find the prime factorization of 5090

5090 = 2 x 5 x 509

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

LCM = 25872470 = 2 x 5 x 13 x 17 x 23 x 509

Step 4: Therefore, the least common multiple of 5083 and 5090 is 25872470.