Least Common Multiple of 5132 and 5139

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 5139 the smallest integer that is 26373348 that is divisible by both numbers.

Least Common Multiple (LCM) of 5132 and 5139 is 26373348.

LCM(5132,5139) = 26373348

LCM of 5132 and 5139

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

LCM of:
and

Least Common Multiple of 5132 and 5139

LCM of 5132 and 5139 is 26373348

Least common multiple can be found by multiplying the highest exponent prime factors of 5132 and 5139. First we will calculate the prime factors of 5132 and 5139.

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 5139


3 5139
3 1713
571 571
1

Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:

5139 = 32×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 5132 and 5139.

LCM(5132,5139) = 22×32×5711×12831
LCM(5132,5139) = 26373348

Factors of 5132

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

1, 2, 4, 1283, 2566, 5132

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1, 3, 9, 571, 1713, 5139

Least Common Multiple of 5132 and 5139 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 5139, than apply into the LCM equation.

GCF(5132,5139) = 1
LCM(5132,5139) = ( 5132 × 5139) / 1
LCM(5132,5139) = 26373348 / 1
LCM(5132,5139) = 26373348

Properties of LCM 5132 and 5139

(i) The LCM of 5139 and 5132 is associative

LCM of 5132 and 5139 = LCM of 5139 and 5132

Related Least Common Multiples of 5132

Related Least Common Multiples of 5139

Frequently Asked Questions on LCM of 5132 and 5139

1. What is the LCM of 5132 and 5139?

Answer: LCM of 5132 and 5139 is 26373348.

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 5139?

Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.

4. How to Find the LCM of 5132 and 5139?

Answer:

Least Common Multiple of 5132 and 5139 = 26373348

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

Step 2: Find the prime factorization of 5139

5139 = 3 x 3 x 571

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

LCM = 26373348 = 2 x 2 x 3 x 3 x 571 x 1283

Step 4: Therefore, the least common multiple of 5132 and 5139 is 26373348.