Least Common Multiple of 9465 and 9470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9465 and 9470 the smallest integer that is 17926710 that is divisible by both numbers.

Least Common Multiple (LCM) of 9465 and 9470 is 17926710.

LCM(9465,9470) = 17926710

LCM of 9465 and 9470

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

LCM of:
and

Least Common Multiple of 9465 and 9470

LCM of 9465 and 9470 is 17926710

Least common multiple can be found by multiplying the highest exponent prime factors of 9465 and 9470. First we will calculate the prime factors of 9465 and 9470.

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

Prime Factorization of 9470


2 9470
5 4735
947 947
1

Prime factors of 9470 are 2, 5,947. Prime factorization of 9470 in exponential form is:

9470 = 21×51×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 9465 and 9470.

LCM(9465,9470) = 21×31×51×6311×9471
LCM(9465,9470) = 17926710

Factors of 9465

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

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

Factors of 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1, 2, 5, 10, 947, 1894, 4735, 9470

Least Common Multiple of 9465 and 9470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9465 and 9470, than apply into the LCM equation.

GCF(9465,9470) = 5
LCM(9465,9470) = ( 9465 × 9470) / 5
LCM(9465,9470) = 89633550 / 5
LCM(9465,9470) = 17926710

Properties of LCM 9465 and 9470

(i) The LCM of 9470 and 9465 is associative

LCM of 9465 and 9470 = LCM of 9470 and 9465

Related Least Common Multiples of 9465

Related Least Common Multiples of 9470

Frequently Asked Questions on LCM of 9465 and 9470

1. What is the LCM of 9465 and 9470?

Answer: LCM of 9465 and 9470 is 17926710.

2. 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.

3. What are the Factors of 9470?

Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.

4. How to Find the LCM of 9465 and 9470?

Answer:

Least Common Multiple of 9465 and 9470 = 17926710

Step 1: Find the prime factorization of 9465

9465 = 3 x 5 x 631

Step 2: Find the prime factorization of 9470

9470 = 2 x 5 x 947

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

LCM = 17926710 = 2 x 3 x 5 x 631 x 947

Step 4: Therefore, the least common multiple of 9465 and 9470 is 17926710.