Least Common Multiple of 9135 and 9140

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 9140 the smallest integer that is 16698780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9135 and 9140 is 16698780.

LCM(9135,9140) = 16698780

LCM of 9135 and 9140

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

LCM of:
and

Least Common Multiple of 9135 and 9140

LCM of 9135 and 9140 is 16698780

Least common multiple can be found by multiplying the highest exponent prime factors of 9135 and 9140. First we will calculate the prime factors of 9135 and 9140.

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 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2, 5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9135 and 9140.

LCM(9135,9140) = 22×32×51×71×291×4571
LCM(9135,9140) = 16698780

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 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140

Least Common Multiple of 9135 and 9140 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 9140, than apply into the LCM equation.

GCF(9135,9140) = 5
LCM(9135,9140) = ( 9135 × 9140) / 5
LCM(9135,9140) = 83493900 / 5
LCM(9135,9140) = 16698780

Properties of LCM 9135 and 9140

(i) The LCM of 9140 and 9135 is associative

LCM of 9135 and 9140 = LCM of 9140 and 9135

Related Least Common Multiples of 9135

Related Least Common Multiples of 9140

Frequently Asked Questions on LCM of 9135 and 9140

1. What is the LCM of 9135 and 9140?

Answer: LCM of 9135 and 9140 is 16698780.

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 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

4. How to Find the LCM of 9135 and 9140?

Answer:

Least Common Multiple of 9135 and 9140 = 16698780

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 9140

9140 = 2 x 2 x 5 x 457

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

LCM = 16698780 = 2 x 2 x 3 x 3 x 5 x 7 x 29 x 457

Step 4: Therefore, the least common multiple of 9135 and 9140 is 16698780.