Least Common Multiple of 10125 and 10132

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 10132 the smallest integer that is 102586500 that is divisible by both numbers.

Least Common Multiple (LCM) of 10125 and 10132 is 102586500.

LCM(10125,10132) = 102586500

LCM of 10125 and 10132

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

LCM of:
and

Least Common Multiple of 10125 and 10132

LCM of 10125 and 10132 is 102586500

Least common multiple can be found by multiplying the highest exponent prime factors of 10125 and 10132. First we will calculate the prime factors of 10125 and 10132.

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 10132


2 10132
2 5066
17 2533
149 149
1

Prime factors of 10132 are 2, 17,149. Prime factorization of 10132 in exponential form is:

10132 = 22×171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 10125 and 10132.

LCM(10125,10132) = 22×34×53×171×1491
LCM(10125,10132) = 102586500

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 10132

List of positive integer factors of 10132 that divides 10132 without a remainder.

1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066, 10132

Least Common Multiple of 10125 and 10132 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 10132, than apply into the LCM equation.

GCF(10125,10132) = 1
LCM(10125,10132) = ( 10125 × 10132) / 1
LCM(10125,10132) = 102586500 / 1
LCM(10125,10132) = 102586500

Properties of LCM 10125 and 10132

(i) The LCM of 10132 and 10125 is associative

LCM of 10125 and 10132 = LCM of 10132 and 10125

Related Least Common Multiples of 10125

Related Least Common Multiples of 10132

Frequently Asked Questions on LCM of 10125 and 10132

1. What is the LCM of 10125 and 10132?

Answer: LCM of 10125 and 10132 is 102586500.

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 10132?

Answer: Factors of 10132 are 1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066, 10132. There are 12 integers that are factors of 10132. The greatest factor of 10132 is 10132.

4. How to Find the LCM of 10125 and 10132?

Answer:

Least Common Multiple of 10125 and 10132 = 102586500

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 10132

10132 = 2 x 2 x 17 x 149

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

LCM = 102586500 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 17 x 149

Step 4: Therefore, the least common multiple of 10125 and 10132 is 102586500.