Least Common Multiple of 5128 and 5133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5128 and 5133 the smallest integer that is 26322024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5128 and 5133 is 26322024.

LCM(5128,5133) = 26322024

LCM of 5128 and 5133

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

LCM of:
and

Least Common Multiple of 5128 and 5133

LCM of 5128 and 5133 is 26322024

Least common multiple can be found by multiplying the highest exponent prime factors of 5128 and 5133. First we will calculate the prime factors of 5128 and 5133.

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Prime Factorization of 5133


3 5133
29 1711
59 59
1

Prime factors of 5133 are 3, 29,59. Prime factorization of 5133 in exponential form is:

5133 = 31×291×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5128 and 5133.

LCM(5128,5133) = 23×31×291×591×6411
LCM(5128,5133) = 26322024

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1, 2, 4, 8, 641, 1282, 2564, 5128

Factors of 5133

List of positive integer factors of 5133 that divides 5133 without a remainder.

1, 3, 29, 59, 87, 177, 1711, 5133

Least Common Multiple of 5128 and 5133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5128 and 5133, than apply into the LCM equation.

GCF(5128,5133) = 1
LCM(5128,5133) = ( 5128 × 5133) / 1
LCM(5128,5133) = 26322024 / 1
LCM(5128,5133) = 26322024

Properties of LCM 5128 and 5133

(i) The LCM of 5133 and 5128 is associative

LCM of 5128 and 5133 = LCM of 5133 and 5128

Related Least Common Multiples of 5128

Related Least Common Multiples of 5133

Frequently Asked Questions on LCM of 5128 and 5133

1. What is the LCM of 5128 and 5133?

Answer: LCM of 5128 and 5133 is 26322024.

2. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

3. What are the Factors of 5133?

Answer: Factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133. There are 8 integers that are factors of 5133. The greatest factor of 5133 is 5133.

4. How to Find the LCM of 5128 and 5133?

Answer:

Least Common Multiple of 5128 and 5133 = 26322024

Step 1: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

Step 2: Find the prime factorization of 5133

5133 = 3 x 29 x 59

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

LCM = 26322024 = 2 x 2 x 2 x 3 x 29 x 59 x 641

Step 4: Therefore, the least common multiple of 5128 and 5133 is 26322024.