Least Common Multiple of 9130 and 9135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9130 and 9135 the smallest integer that is 16680510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9130 and 9135 is 16680510.

LCM(9130,9135) = 16680510

LCM of 9130 and 9135

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

LCM of:
and

Least Common Multiple of 9130 and 9135

LCM of 9130 and 9135 is 16680510

Least common multiple can be found by multiplying the highest exponent prime factors of 9130 and 9135. First we will calculate the prime factors of 9130 and 9135.

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

Prime Factorization of 9135


3 9135
3 3045
5 1015
7 203
29 29
1

Prime factors of 9135 are 3, 5, 7,29. Prime factorization of 9135 in exponential form is:

9135 = 32×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9130 and 9135.

LCM(9130,9135) = 21×32×51×71×111×291×831
LCM(9130,9135) = 16680510

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

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135

Least Common Multiple of 9130 and 9135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9130 and 9135, than apply into the LCM equation.

GCF(9130,9135) = 5
LCM(9130,9135) = ( 9130 × 9135) / 5
LCM(9130,9135) = 83402550 / 5
LCM(9130,9135) = 16680510

Properties of LCM 9130 and 9135

(i) The LCM of 9135 and 9130 is associative

LCM of 9130 and 9135 = LCM of 9135 and 9130

Related Least Common Multiples of 9130

Related Least Common Multiples of 9135

Frequently Asked Questions on LCM of 9130 and 9135

1. What is the LCM of 9130 and 9135?

Answer: LCM of 9130 and 9135 is 16680510.

2. 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.

3. What are the Factors of 9135?

Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.

4. How to Find the LCM of 9130 and 9135?

Answer:

Least Common Multiple of 9130 and 9135 = 16680510

Step 1: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

Step 2: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

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

LCM = 16680510 = 2 x 3 x 3 x 5 x 7 x 11 x 29 x 83

Step 4: Therefore, the least common multiple of 9130 and 9135 is 16680510.