Least Common Multiple of 5132 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 5132 and 5138 the smallest integer that is 13184108 that is divisible by both numbers.

Least Common Multiple (LCM) of 5132 and 5138 is 13184108.

LCM(5132,5138) = 13184108

LCM of 5132 and 5138

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

LCM of:
and

Least Common Multiple of 5132 and 5138

LCM of 5132 and 5138 is 13184108

Least common multiple can be found by multiplying the highest exponent prime factors of 5132 and 5138. First we will calculate the prime factors of 5132 and 5138.

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

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 5132 and 5138.

LCM(5132,5138) = 22×71×3671×12831
LCM(5132,5138) = 13184108

Factors of 5132

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

1, 2, 4, 1283, 2566, 5132

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 5132 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 5132 and 5138, than apply into the LCM equation.

GCF(5132,5138) = 2
LCM(5132,5138) = ( 5132 × 5138) / 2
LCM(5132,5138) = 26368216 / 2
LCM(5132,5138) = 13184108

Properties of LCM 5132 and 5138

(i) The LCM of 5138 and 5132 is associative

LCM of 5132 and 5138 = LCM of 5138 and 5132

Related Least Common Multiples of 5132

Related Least Common Multiples of 5138

Frequently Asked Questions on LCM of 5132 and 5138

1. What is the LCM of 5132 and 5138?

Answer: LCM of 5132 and 5138 is 13184108.

2. 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.

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 5132 and 5138?

Answer:

Least Common Multiple of 5132 and 5138 = 13184108

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

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 = 13184108 = 2 x 2 x 7 x 367 x 1283

Step 4: Therefore, the least common multiple of 5132 and 5138 is 13184108.