Least Common Multiple of 9125 and 9130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9125 and 9130 the smallest integer that is 16662250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9125 and 9130 is 16662250.

LCM(9125,9130) = 16662250

LCM of 9125 and 9130

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

LCM of:
and

Least Common Multiple of 9125 and 9130

LCM of 9125 and 9130 is 16662250

Least common multiple can be found by multiplying the highest exponent prime factors of 9125 and 9130. First we will calculate the prime factors of 9125 and 9130.

Prime Factorization of 9125


5 9125
5 1825
5 365
73 73
1

Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:

9125 = 53×731

Prime Factorization of 9130


2 9130
5 4565
11 913
83 83
1

Prime factors of 9130 are 2, 5, 11,83. Prime factorization of 9130 in exponential form is:

9130 = 21×51×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9125 and 9130.

LCM(9125,9130) = 21×53×111×731×831
LCM(9125,9130) = 16662250

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1, 5, 25, 73, 125, 365, 1825, 9125

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130

Least Common Multiple of 9125 and 9130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9125 and 9130, than apply into the LCM equation.

GCF(9125,9130) = 5
LCM(9125,9130) = ( 9125 × 9130) / 5
LCM(9125,9130) = 83311250 / 5
LCM(9125,9130) = 16662250

Properties of LCM 9125 and 9130

(i) The LCM of 9130 and 9125 is associative

LCM of 9125 and 9130 = LCM of 9130 and 9125

Related Least Common Multiples of 9125

Related Least Common Multiples of 9130

Frequently Asked Questions on LCM of 9125 and 9130

1. What is the LCM of 9125 and 9130?

Answer: LCM of 9125 and 9130 is 16662250.

2. What are the Factors of 9125?

Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.

3. What are the Factors of 9130?

Answer: Factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130. There are 16 integers that are factors of 9130. The greatest factor of 9130 is 9130.

4. How to Find the LCM of 9125 and 9130?

Answer:

Least Common Multiple of 9125 and 9130 = 16662250

Step 1: Find the prime factorization of 9125

9125 = 5 x 5 x 5 x 73

Step 2: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

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

LCM = 16662250 = 2 x 5 x 5 x 5 x 11 x 73 x 83

Step 4: Therefore, the least common multiple of 9125 and 9130 is 16662250.