Least Common Multiple of 5132 and 5134

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 5134 the smallest integer that is 13173844 that is divisible by both numbers.

Least Common Multiple (LCM) of 5132 and 5134 is 13173844.

LCM(5132,5134) = 13173844

LCM of 5132 and 5134

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

LCM of:
and

Least Common Multiple of 5132 and 5134

LCM of 5132 and 5134 is 13173844

Least common multiple can be found by multiplying the highest exponent prime factors of 5132 and 5134. First we will calculate the prime factors of 5132 and 5134.

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 5134


2 5134
17 2567
151 151
1

Prime factors of 5134 are 2, 17,151. Prime factorization of 5134 in exponential form is:

5134 = 21×171×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5132 and 5134.

LCM(5132,5134) = 22×171×1511×12831
LCM(5132,5134) = 13173844

Factors of 5132

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

1, 2, 4, 1283, 2566, 5132

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1, 2, 17, 34, 151, 302, 2567, 5134

Least Common Multiple of 5132 and 5134 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 5134, than apply into the LCM equation.

GCF(5132,5134) = 2
LCM(5132,5134) = ( 5132 × 5134) / 2
LCM(5132,5134) = 26347688 / 2
LCM(5132,5134) = 13173844

Properties of LCM 5132 and 5134

(i) The LCM of 5134 and 5132 is associative

LCM of 5132 and 5134 = LCM of 5134 and 5132

Related Least Common Multiples of 5132

Related Least Common Multiples of 5134

Frequently Asked Questions on LCM of 5132 and 5134

1. What is the LCM of 5132 and 5134?

Answer: LCM of 5132 and 5134 is 13173844.

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 5134?

Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.

4. How to Find the LCM of 5132 and 5134?

Answer:

Least Common Multiple of 5132 and 5134 = 13173844

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

Step 2: Find the prime factorization of 5134

5134 = 2 x 17 x 151

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

LCM = 13173844 = 2 x 2 x 17 x 151 x 1283

Step 4: Therefore, the least common multiple of 5132 and 5134 is 13173844.