Least Common Multiple of 5126 and 5132

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 5132 the smallest integer that is 13153316 that is divisible by both numbers.

Least Common Multiple (LCM) of 5126 and 5132 is 13153316.

LCM(5126,5132) = 13153316

LCM of 5126 and 5132

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

LCM of:
and

Least Common Multiple of 5126 and 5132

LCM of 5126 and 5132 is 13153316

Least common multiple can be found by multiplying the highest exponent prime factors of 5126 and 5132. First we will calculate the prime factors of 5126 and 5132.

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 5132


2 5132
2 2566
1283 1283
1

Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:

5132 = 22×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 5126 and 5132.

LCM(5126,5132) = 22×111×2331×12831
LCM(5126,5132) = 13153316

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 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1, 2, 4, 1283, 2566, 5132

Least Common Multiple of 5126 and 5132 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 5132, than apply into the LCM equation.

GCF(5126,5132) = 2
LCM(5126,5132) = ( 5126 × 5132) / 2
LCM(5126,5132) = 26306632 / 2
LCM(5126,5132) = 13153316

Properties of LCM 5126 and 5132

(i) The LCM of 5132 and 5126 is associative

LCM of 5126 and 5132 = LCM of 5132 and 5126

Related Least Common Multiples of 5126

Related Least Common Multiples of 5132

Frequently Asked Questions on LCM of 5126 and 5132

1. What is the LCM of 5126 and 5132?

Answer: LCM of 5126 and 5132 is 13153316.

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 5132?

Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.

4. How to Find the LCM of 5126 and 5132?

Answer:

Least Common Multiple of 5126 and 5132 = 13153316

Step 1: Find the prime factorization of 5126

5126 = 2 x 11 x 233

Step 2: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

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

LCM = 13153316 = 2 x 2 x 11 x 233 x 1283

Step 4: Therefore, the least common multiple of 5126 and 5132 is 13153316.