Least Common Multiple of 5083 and 5087

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 5087 the smallest integer that is 25857221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5083 and 5087 is 25857221.

LCM(5083,5087) = 25857221

LCM of 5083 and 5087

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

LCM of:
and

Least Common Multiple of 5083 and 5087

LCM of 5083 and 5087 is 25857221

Least common multiple can be found by multiplying the highest exponent prime factors of 5083 and 5087. First we will calculate the prime factors of 5083 and 5087.

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 5087


5087 5087
1

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 50871

Now multiplying the highest exponent prime factors to calculate the LCM of 5083 and 5087.

LCM(5083,5087) = 131×171×231×50871
LCM(5083,5087) = 25857221

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 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1, 5087

Least Common Multiple of 5083 and 5087 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 5087, than apply into the LCM equation.

GCF(5083,5087) = 1
LCM(5083,5087) = ( 5083 × 5087) / 1
LCM(5083,5087) = 25857221 / 1
LCM(5083,5087) = 25857221

Properties of LCM 5083 and 5087

(i) The LCM of 5087 and 5083 is associative

LCM of 5083 and 5087 = LCM of 5087 and 5083

Related Least Common Multiples of 5083

Related Least Common Multiples of 5087

Frequently Asked Questions on LCM of 5083 and 5087

1. What is the LCM of 5083 and 5087?

Answer: LCM of 5083 and 5087 is 25857221.

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 5087?

Answer: Factors of 5087 are 1, 5087. There are 2 integers that are factors of 5087. The greatest factor of 5087 is 5087.

4. How to Find the LCM of 5083 and 5087?

Answer:

Least Common Multiple of 5083 and 5087 = 25857221

Step 1: Find the prime factorization of 5083

5083 = 13 x 17 x 23

Step 2: Find the prime factorization of 5087

5087 = 5087

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

LCM = 25857221 = 13 x 17 x 23 x 5087

Step 4: Therefore, the least common multiple of 5083 and 5087 is 25857221.