Least Common Multiple of 10125 and 10130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10125 and 10130 the smallest integer that is 20513250 that is divisible by both numbers.

Least Common Multiple (LCM) of 10125 and 10130 is 20513250.

LCM(10125,10130) = 20513250

LCM of 10125 and 10130

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

LCM of:
and

Least Common Multiple of 10125 and 10130

LCM of 10125 and 10130 is 20513250

Least common multiple can be found by multiplying the highest exponent prime factors of 10125 and 10130. First we will calculate the prime factors of 10125 and 10130.

Prime Factorization of 10125


3 10125
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 10125 are 3,5. Prime factorization of 10125 in exponential form is:

10125 = 34×53

Prime Factorization of 10130


2 10130
5 5065
1013 1013
1

Prime factors of 10130 are 2, 5,1013. Prime factorization of 10130 in exponential form is:

10130 = 21×51×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 10125 and 10130.

LCM(10125,10130) = 21×34×53×10131
LCM(10125,10130) = 20513250

Factors of 10125

List of positive integer factors of 10125 that divides 10125 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375, 10125

Factors of 10130

List of positive integer factors of 10130 that divides 10130 without a remainder.

1, 2, 5, 10, 1013, 2026, 5065, 10130

Least Common Multiple of 10125 and 10130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10125 and 10130, than apply into the LCM equation.

GCF(10125,10130) = 5
LCM(10125,10130) = ( 10125 × 10130) / 5
LCM(10125,10130) = 102566250 / 5
LCM(10125,10130) = 20513250

Properties of LCM 10125 and 10130

(i) The LCM of 10130 and 10125 is associative

LCM of 10125 and 10130 = LCM of 10130 and 10125

Related Least Common Multiples of 10125

Related Least Common Multiples of 10130

Frequently Asked Questions on LCM of 10125 and 10130

1. What is the LCM of 10125 and 10130?

Answer: LCM of 10125 and 10130 is 20513250.

2. What are the Factors of 10125?

Answer: Factors of 10125 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 675, 1125, 2025, 3375, 10125. There are 20 integers that are factors of 10125. The greatest factor of 10125 is 10125.

3. What are the Factors of 10130?

Answer: Factors of 10130 are 1, 2, 5, 10, 1013, 2026, 5065, 10130. There are 8 integers that are factors of 10130. The greatest factor of 10130 is 10130.

4. How to Find the LCM of 10125 and 10130?

Answer:

Least Common Multiple of 10125 and 10130 = 20513250

Step 1: Find the prime factorization of 10125

10125 = 3 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 10130

10130 = 2 x 5 x 1013

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

LCM = 20513250 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 1013

Step 4: Therefore, the least common multiple of 10125 and 10130 is 20513250.