Least Common Multiple of 5133 and 5138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5133 and 5138 the smallest integer that is 26373354 that is divisible by both numbers.

Least Common Multiple (LCM) of 5133 and 5138 is 26373354.

LCM(5133,5138) = 26373354

LCM of 5133 and 5138

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

LCM of:
and

Least Common Multiple of 5133 and 5138

LCM of 5133 and 5138 is 26373354

Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5138. First we will calculate the prime factors of 5133 and 5138.

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

Prime Factorization of 5138


2 5138
7 2569
367 367
1

Prime factors of 5138 are 2, 7,367. Prime factorization of 5138 in exponential form is:

5138 = 21×71×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5138.

LCM(5133,5138) = 21×31×71×291×591×3671
LCM(5133,5138) = 26373354

Factors of 5133

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

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

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1, 2, 7, 14, 367, 734, 2569, 5138

Least Common Multiple of 5133 and 5138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5133 and 5138, than apply into the LCM equation.

GCF(5133,5138) = 1
LCM(5133,5138) = ( 5133 × 5138) / 1
LCM(5133,5138) = 26373354 / 1
LCM(5133,5138) = 26373354

Properties of LCM 5133 and 5138

(i) The LCM of 5138 and 5133 is associative

LCM of 5133 and 5138 = LCM of 5138 and 5133

Related Least Common Multiples of 5133

Related Least Common Multiples of 5138

Frequently Asked Questions on LCM of 5133 and 5138

1. What is the LCM of 5133 and 5138?

Answer: LCM of 5133 and 5138 is 26373354.

2. 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.

3. What are the Factors of 5138?

Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.

4. How to Find the LCM of 5133 and 5138?

Answer:

Least Common Multiple of 5133 and 5138 = 26373354

Step 1: Find the prime factorization of 5133

5133 = 3 x 29 x 59

Step 2: Find the prime factorization of 5138

5138 = 2 x 7 x 367

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

LCM = 26373354 = 2 x 3 x 7 x 29 x 59 x 367

Step 4: Therefore, the least common multiple of 5133 and 5138 is 26373354.