Least Common Multiple of 5125 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 5125 and 5132 the smallest integer that is 26301500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5125 and 5132 is 26301500.

LCM(5125,5132) = 26301500

LCM of 5125 and 5132

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

LCM of:
and

Least Common Multiple of 5125 and 5132

LCM of 5125 and 5132 is 26301500

Least common multiple can be found by multiplying the highest exponent prime factors of 5125 and 5132. First we will calculate the prime factors of 5125 and 5132.

Prime Factorization of 5125


5 5125
5 1025
5 205
41 41
1

Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:

5125 = 53×411

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 5125 and 5132.

LCM(5125,5132) = 22×53×411×12831
LCM(5125,5132) = 26301500

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1, 5, 25, 41, 125, 205, 1025, 5125

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 5125 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 5125 and 5132, than apply into the LCM equation.

GCF(5125,5132) = 1
LCM(5125,5132) = ( 5125 × 5132) / 1
LCM(5125,5132) = 26301500 / 1
LCM(5125,5132) = 26301500

Properties of LCM 5125 and 5132

(i) The LCM of 5132 and 5125 is associative

LCM of 5125 and 5132 = LCM of 5132 and 5125

Related Least Common Multiples of 5125

Related Least Common Multiples of 5132

Frequently Asked Questions on LCM of 5125 and 5132

1. What is the LCM of 5125 and 5132?

Answer: LCM of 5125 and 5132 is 26301500.

2. What are the Factors of 5125?

Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.

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 5125 and 5132?

Answer:

Least Common Multiple of 5125 and 5132 = 26301500

Step 1: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

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 = 26301500 = 2 x 2 x 5 x 5 x 5 x 41 x 1283

Step 4: Therefore, the least common multiple of 5125 and 5132 is 26301500.