Least Common Multiple of 10125 and 10129

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 10129 the smallest integer that is 102556125 that is divisible by both numbers.

Least Common Multiple (LCM) of 10125 and 10129 is 102556125.

LCM(10125,10129) = 102556125

LCM of 10125 and 10129

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

LCM of:
and

Least Common Multiple of 10125 and 10129

LCM of 10125 and 10129 is 102556125

Least common multiple can be found by multiplying the highest exponent prime factors of 10125 and 10129. First we will calculate the prime factors of 10125 and 10129.

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 10129


7 10129
1447 1447
1

Prime factors of 10129 are 7,1447. Prime factorization of 10129 in exponential form is:

10129 = 71×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 10125 and 10129.

LCM(10125,10129) = 34×53×71×14471
LCM(10125,10129) = 102556125

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 10129

List of positive integer factors of 10129 that divides 10129 without a remainder.

1, 7, 1447, 10129

Least Common Multiple of 10125 and 10129 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 10129, than apply into the LCM equation.

GCF(10125,10129) = 1
LCM(10125,10129) = ( 10125 × 10129) / 1
LCM(10125,10129) = 102556125 / 1
LCM(10125,10129) = 102556125

Properties of LCM 10125 and 10129

(i) The LCM of 10129 and 10125 is associative

LCM of 10125 and 10129 = LCM of 10129 and 10125

Related Least Common Multiples of 10125

Related Least Common Multiples of 10129

Frequently Asked Questions on LCM of 10125 and 10129

1. What is the LCM of 10125 and 10129?

Answer: LCM of 10125 and 10129 is 102556125.

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 10129?

Answer: Factors of 10129 are 1, 7, 1447, 10129. There are 4 integers that are factors of 10129. The greatest factor of 10129 is 10129.

4. How to Find the LCM of 10125 and 10129?

Answer:

Least Common Multiple of 10125 and 10129 = 102556125

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 10129

10129 = 7 x 1447

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

LCM = 102556125 = 3 x 3 x 3 x 3 x 5 x 5 x 5 x 7 x 1447

Step 4: Therefore, the least common multiple of 10125 and 10129 is 102556125.