Least Common Multiple of 9459 and 9465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9459 and 9465 the smallest integer that is 29843145 that is divisible by both numbers.

Least Common Multiple (LCM) of 9459 and 9465 is 29843145.

LCM(9459,9465) = 29843145

LCM of 9459 and 9465

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

LCM of:
and

Least Common Multiple of 9459 and 9465

LCM of 9459 and 9465 is 29843145

Least common multiple can be found by multiplying the highest exponent prime factors of 9459 and 9465. First we will calculate the prime factors of 9459 and 9465.

Prime Factorization of 9459


3 9459
3 3153
1051 1051
1

Prime factors of 9459 are 3,1051. Prime factorization of 9459 in exponential form is:

9459 = 32×10511

Prime Factorization of 9465


3 9465
5 3155
631 631
1

Prime factors of 9465 are 3, 5,631. Prime factorization of 9465 in exponential form is:

9465 = 31×51×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 9459 and 9465.

LCM(9459,9465) = 32×51×6311×10511
LCM(9459,9465) = 29843145

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1, 3, 9, 1051, 3153, 9459

Factors of 9465

List of positive integer factors of 9465 that divides 9465 without a remainder.

1, 3, 5, 15, 631, 1893, 3155, 9465

Least Common Multiple of 9459 and 9465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9459 and 9465, than apply into the LCM equation.

GCF(9459,9465) = 3
LCM(9459,9465) = ( 9459 × 9465) / 3
LCM(9459,9465) = 89529435 / 3
LCM(9459,9465) = 29843145

Properties of LCM 9459 and 9465

(i) The LCM of 9465 and 9459 is associative

LCM of 9459 and 9465 = LCM of 9465 and 9459

Related Least Common Multiples of 9459

Related Least Common Multiples of 9465

Frequently Asked Questions on LCM of 9459 and 9465

1. What is the LCM of 9459 and 9465?

Answer: LCM of 9459 and 9465 is 29843145.

2. What are the Factors of 9459?

Answer: Factors of 9459 are 1, 3, 9, 1051, 3153, 9459. There are 6 integers that are factors of 9459. The greatest factor of 9459 is 9459.

3. What are the Factors of 9465?

Answer: Factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465. There are 8 integers that are factors of 9465. The greatest factor of 9465 is 9465.

4. How to Find the LCM of 9459 and 9465?

Answer:

Least Common Multiple of 9459 and 9465 = 29843145

Step 1: Find the prime factorization of 9459

9459 = 3 x 3 x 1051

Step 2: Find the prime factorization of 9465

9465 = 3 x 5 x 631

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

LCM = 29843145 = 3 x 3 x 5 x 631 x 1051

Step 4: Therefore, the least common multiple of 9459 and 9465 is 29843145.