Least Common Multiple of 5083 and 5088

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 5088 the smallest integer that is 25862304 that is divisible by both numbers.

Least Common Multiple (LCM) of 5083 and 5088 is 25862304.

LCM(5083,5088) = 25862304

LCM of 5083 and 5088

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

LCM of:
and

Least Common Multiple of 5083 and 5088

LCM of 5083 and 5088 is 25862304

Least common multiple can be found by multiplying the highest exponent prime factors of 5083 and 5088. First we will calculate the prime factors of 5083 and 5088.

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 5088


2 5088
2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 5088 are 2, 3,53. Prime factorization of 5088 in exponential form is:

5088 = 25×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5083 and 5088.

LCM(5083,5088) = 25×31×131×171×231×531
LCM(5083,5088) = 25862304

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 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088

Least Common Multiple of 5083 and 5088 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 5088, than apply into the LCM equation.

GCF(5083,5088) = 1
LCM(5083,5088) = ( 5083 × 5088) / 1
LCM(5083,5088) = 25862304 / 1
LCM(5083,5088) = 25862304

Properties of LCM 5083 and 5088

(i) The LCM of 5088 and 5083 is associative

LCM of 5083 and 5088 = LCM of 5088 and 5083

Related Least Common Multiples of 5083

Related Least Common Multiples of 5088

Frequently Asked Questions on LCM of 5083 and 5088

1. What is the LCM of 5083 and 5088?

Answer: LCM of 5083 and 5088 is 25862304.

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 5088?

Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.

4. How to Find the LCM of 5083 and 5088?

Answer:

Least Common Multiple of 5083 and 5088 = 25862304

Step 1: Find the prime factorization of 5083

5083 = 13 x 17 x 23

Step 2: Find the prime factorization of 5088

5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53

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

LCM = 25862304 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 23 x 53

Step 4: Therefore, the least common multiple of 5083 and 5088 is 25862304.