Least Common Multiple of 5125 and 5130

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 5130 the smallest integer that is 5258250 that is divisible by both numbers.

Least Common Multiple (LCM) of 5125 and 5130 is 5258250.

LCM(5125,5130) = 5258250

LCM of 5125 and 5130

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

LCM of:
and

Least Common Multiple of 5125 and 5130

LCM of 5125 and 5130 is 5258250

Least common multiple can be found by multiplying the highest exponent prime factors of 5125 and 5130. First we will calculate the prime factors of 5125 and 5130.

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 5130


2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 5130 are 2, 3, 5,19. Prime factorization of 5130 in exponential form is:

5130 = 21×33×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5125 and 5130.

LCM(5125,5130) = 21×33×53×191×411
LCM(5125,5130) = 5258250

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 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130

Least Common Multiple of 5125 and 5130 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 5130, than apply into the LCM equation.

GCF(5125,5130) = 5
LCM(5125,5130) = ( 5125 × 5130) / 5
LCM(5125,5130) = 26291250 / 5
LCM(5125,5130) = 5258250

Properties of LCM 5125 and 5130

(i) The LCM of 5130 and 5125 is associative

LCM of 5125 and 5130 = LCM of 5130 and 5125

Related Least Common Multiples of 5125

Related Least Common Multiples of 5130

Frequently Asked Questions on LCM of 5125 and 5130

1. What is the LCM of 5125 and 5130?

Answer: LCM of 5125 and 5130 is 5258250.

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 5130?

Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.

4. How to Find the LCM of 5125 and 5130?

Answer:

Least Common Multiple of 5125 and 5130 = 5258250

Step 1: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

Step 2: Find the prime factorization of 5130

5130 = 2 x 3 x 3 x 3 x 5 x 19

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

LCM = 5258250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 19 x 41

Step 4: Therefore, the least common multiple of 5125 and 5130 is 5258250.