Least Common Multiple of 5082 and 5083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5082 and 5083 the smallest integer that is 25831806 that is divisible by both numbers.

Least Common Multiple (LCM) of 5082 and 5083 is 25831806.

LCM(5082,5083) = 25831806

LCM of 5082 and 5083

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

LCM of:
and

Least Common Multiple of 5082 and 5083

LCM of 5082 and 5083 is 25831806

Least common multiple can be found by multiplying the highest exponent prime factors of 5082 and 5083. First we will calculate the prime factors of 5082 and 5083.

Prime Factorization of 5082


2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 5082 are 2, 3, 7,11. Prime factorization of 5082 in exponential form is:

5082 = 21×31×71×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5082 and 5083.

LCM(5082,5083) = 21×31×71×112×131×171×231
LCM(5082,5083) = 25831806

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082

Factors of 5083

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

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

Least Common Multiple of 5082 and 5083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5082 and 5083, than apply into the LCM equation.

GCF(5082,5083) = 1
LCM(5082,5083) = ( 5082 × 5083) / 1
LCM(5082,5083) = 25831806 / 1
LCM(5082,5083) = 25831806

Properties of LCM 5082 and 5083

(i) The LCM of 5083 and 5082 is associative

LCM of 5082 and 5083 = LCM of 5083 and 5082

Related Least Common Multiples of 5082

Related Least Common Multiples of 5083

Frequently Asked Questions on LCM of 5082 and 5083

1. What is the LCM of 5082 and 5083?

Answer: LCM of 5082 and 5083 is 25831806.

2. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

3. 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.

4. How to Find the LCM of 5082 and 5083?

Answer:

Least Common Multiple of 5082 and 5083 = 25831806

Step 1: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 5083

5083 = 13 x 17 x 23

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

LCM = 25831806 = 2 x 3 x 7 x 11 x 11 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 5082 and 5083 is 25831806.