Least Common Multiple of 5126 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 5126 and 5133 the smallest integer that is 26311758 that is divisible by both numbers.

Least Common Multiple (LCM) of 5126 and 5133 is 26311758.

LCM(5126,5133) = 26311758

LCM of 5126 and 5133

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

LCM of:
and

Least Common Multiple of 5126 and 5133

LCM of 5126 and 5133 is 26311758

Least common multiple can be found by multiplying the highest exponent prime factors of 5126 and 5133. First we will calculate the prime factors of 5126 and 5133.

Prime Factorization of 5126


2 5126
11 2563
233 233
1

Prime factors of 5126 are 2, 11,233. Prime factorization of 5126 in exponential form is:

5126 = 21×111×2331

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 5126 and 5133.

LCM(5126,5133) = 21×31×111×291×591×2331
LCM(5126,5133) = 26311758

Factors of 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1, 2, 11, 22, 233, 466, 2563, 5126

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 5126 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 5126 and 5133, than apply into the LCM equation.

GCF(5126,5133) = 1
LCM(5126,5133) = ( 5126 × 5133) / 1
LCM(5126,5133) = 26311758 / 1
LCM(5126,5133) = 26311758

Properties of LCM 5126 and 5133

(i) The LCM of 5133 and 5126 is associative

LCM of 5126 and 5133 = LCM of 5133 and 5126

Related Least Common Multiples of 5126

Related Least Common Multiples of 5133

Frequently Asked Questions on LCM of 5126 and 5133

1. What is the LCM of 5126 and 5133?

Answer: LCM of 5126 and 5133 is 26311758.

2. What are the Factors of 5126?

Answer: Factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126. There are 8 integers that are factors of 5126. The greatest factor of 5126 is 5126.

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 5126 and 5133?

Answer:

Least Common Multiple of 5126 and 5133 = 26311758

Step 1: Find the prime factorization of 5126

5126 = 2 x 11 x 233

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 = 26311758 = 2 x 3 x 11 x 29 x 59 x 233

Step 4: Therefore, the least common multiple of 5126 and 5133 is 26311758.