Least Common Multiple of 9135 and 9139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9135 and 9139 the smallest integer that is 83484765 that is divisible by both numbers.

Least Common Multiple (LCM) of 9135 and 9139 is 83484765.

LCM(9135,9139) = 83484765

LCM of 9135 and 9139

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

LCM of:
and

Least Common Multiple of 9135 and 9139

LCM of 9135 and 9139 is 83484765

Least common multiple can be found by multiplying the highest exponent prime factors of 9135 and 9139. First we will calculate the prime factors of 9135 and 9139.

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

Prime Factorization of 9139


13 9139
19 703
37 37
1

Prime factors of 9139 are 13, 19,37. Prime factorization of 9139 in exponential form is:

9139 = 131×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9135 and 9139.

LCM(9135,9139) = 32×51×71×131×191×291×371
LCM(9135,9139) = 83484765

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

Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1, 13, 19, 37, 247, 481, 703, 9139

Least Common Multiple of 9135 and 9139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9135 and 9139, than apply into the LCM equation.

GCF(9135,9139) = 1
LCM(9135,9139) = ( 9135 × 9139) / 1
LCM(9135,9139) = 83484765 / 1
LCM(9135,9139) = 83484765

Properties of LCM 9135 and 9139

(i) The LCM of 9139 and 9135 is associative

LCM of 9135 and 9139 = LCM of 9139 and 9135

Related Least Common Multiples of 9135

Related Least Common Multiples of 9139

Frequently Asked Questions on LCM of 9135 and 9139

1. What is the LCM of 9135 and 9139?

Answer: LCM of 9135 and 9139 is 83484765.

2. 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.

3. What are the Factors of 9139?

Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.

4. How to Find the LCM of 9135 and 9139?

Answer:

Least Common Multiple of 9135 and 9139 = 83484765

Step 1: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 9139

9139 = 13 x 19 x 37

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

LCM = 83484765 = 3 x 3 x 5 x 7 x 13 x 19 x 29 x 37

Step 4: Therefore, the least common multiple of 9135 and 9139 is 83484765.