Least Common Multiple of 9465 and 9469

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 9469 the smallest integer that is 89624085 that is divisible by both numbers.

Least Common Multiple (LCM) of 9465 and 9469 is 89624085.

LCM(9465,9469) = 89624085

LCM of 9465 and 9469

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

LCM of:
and

Least Common Multiple of 9465 and 9469

LCM of 9465 and 9469 is 89624085

Least common multiple can be found by multiplying the highest exponent prime factors of 9465 and 9469. First we will calculate the prime factors of 9465 and 9469.

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 9469


17 9469
557 557
1

Prime factors of 9469 are 17,557. Prime factorization of 9469 in exponential form is:

9469 = 171×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 9465 and 9469.

LCM(9465,9469) = 31×51×171×5571×6311
LCM(9465,9469) = 89624085

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 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1, 17, 557, 9469

Least Common Multiple of 9465 and 9469 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 9469, than apply into the LCM equation.

GCF(9465,9469) = 1
LCM(9465,9469) = ( 9465 × 9469) / 1
LCM(9465,9469) = 89624085 / 1
LCM(9465,9469) = 89624085

Properties of LCM 9465 and 9469

(i) The LCM of 9469 and 9465 is associative

LCM of 9465 and 9469 = LCM of 9469 and 9465

Frequently Asked Questions on LCM of 9465 and 9469

1. What is the LCM of 9465 and 9469?

Answer: LCM of 9465 and 9469 is 89624085.

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 9469?

Answer: Factors of 9469 are 1, 17, 557, 9469. There are 4 integers that are factors of 9469. The greatest factor of 9469 is 9469.

4. How to Find the LCM of 9465 and 9469?

Answer:

Least Common Multiple of 9465 and 9469 = 89624085

Step 1: Find the prime factorization of 9465

9465 = 3 x 5 x 631

Step 2: Find the prime factorization of 9469

9469 = 17 x 557

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

LCM = 89624085 = 3 x 5 x 17 x 557 x 631

Step 4: Therefore, the least common multiple of 9465 and 9469 is 89624085.