Least Common Multiple of 9129 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 9129 and 9135 the smallest integer that is 27797805 that is divisible by both numbers.

Least Common Multiple (LCM) of 9129 and 9135 is 27797805.

LCM(9129,9135) = 27797805

LCM of 9129 and 9135

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

LCM of:
and

Least Common Multiple of 9129 and 9135

LCM of 9129 and 9135 is 27797805

Least common multiple can be found by multiplying the highest exponent prime factors of 9129 and 9135. First we will calculate the prime factors of 9129 and 9135.

Prime Factorization of 9129


3 9129
17 3043
179 179
1

Prime factors of 9129 are 3, 17,179. Prime factorization of 9129 in exponential form is:

9129 = 31×171×1791

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 9129 and 9135.

LCM(9129,9135) = 32×51×71×171×291×1791
LCM(9129,9135) = 27797805

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1, 3, 17, 51, 179, 537, 3043, 9129

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 9129 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 9129 and 9135, than apply into the LCM equation.

GCF(9129,9135) = 3
LCM(9129,9135) = ( 9129 × 9135) / 3
LCM(9129,9135) = 83393415 / 3
LCM(9129,9135) = 27797805

Properties of LCM 9129 and 9135

(i) The LCM of 9135 and 9129 is associative

LCM of 9129 and 9135 = LCM of 9135 and 9129

Related Least Common Multiples of 9129

Related Least Common Multiples of 9135

Frequently Asked Questions on LCM of 9129 and 9135

1. What is the LCM of 9129 and 9135?

Answer: LCM of 9129 and 9135 is 27797805.

2. What are the Factors of 9129?

Answer: Factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129. There are 8 integers that are factors of 9129. The greatest factor of 9129 is 9129.

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 9129 and 9135?

Answer:

Least Common Multiple of 9129 and 9135 = 27797805

Step 1: Find the prime factorization of 9129

9129 = 3 x 17 x 179

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 = 27797805 = 3 x 3 x 5 x 7 x 17 x 29 x 179

Step 4: Therefore, the least common multiple of 9129 and 9135 is 27797805.