Least Common Multiple of 5076 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 5076 and 5083 the smallest integer that is 25801308 that is divisible by both numbers.

Least Common Multiple (LCM) of 5076 and 5083 is 25801308.

LCM(5076,5083) = 25801308

LCM of 5076 and 5083

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

LCM of:
and

Least Common Multiple of 5076 and 5083

LCM of 5076 and 5083 is 25801308

Least common multiple can be found by multiplying the highest exponent prime factors of 5076 and 5083. First we will calculate the prime factors of 5076 and 5083.

Prime Factorization of 5076


2 5076
2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 5076 are 2, 3,47. Prime factorization of 5076 in exponential form is:

5076 = 22×33×471

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 5076 and 5083.

LCM(5076,5083) = 22×33×131×171×231×471
LCM(5076,5083) = 25801308

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076

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 5076 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 5076 and 5083, than apply into the LCM equation.

GCF(5076,5083) = 1
LCM(5076,5083) = ( 5076 × 5083) / 1
LCM(5076,5083) = 25801308 / 1
LCM(5076,5083) = 25801308

Properties of LCM 5076 and 5083

(i) The LCM of 5083 and 5076 is associative

LCM of 5076 and 5083 = LCM of 5083 and 5076

Related Least Common Multiples of 5076

Related Least Common Multiples of 5083

Frequently Asked Questions on LCM of 5076 and 5083

1. What is the LCM of 5076 and 5083?

Answer: LCM of 5076 and 5083 is 25801308.

2. What are the Factors of 5076?

Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.

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 5076 and 5083?

Answer:

Least Common Multiple of 5076 and 5083 = 25801308

Step 1: Find the prime factorization of 5076

5076 = 2 x 2 x 3 x 3 x 3 x 47

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 = 25801308 = 2 x 2 x 3 x 3 x 3 x 13 x 17 x 23 x 47

Step 4: Therefore, the least common multiple of 5076 and 5083 is 25801308.