Least Common Multiple of 9466 and 9473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9466 and 9473 the smallest integer that is 89671418 that is divisible by both numbers.

Least Common Multiple (LCM) of 9466 and 9473 is 89671418.

LCM(9466,9473) = 89671418

LCM of 9466 and 9473

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

LCM of:
and

Least Common Multiple of 9466 and 9473

LCM of 9466 and 9473 is 89671418

Least common multiple can be found by multiplying the highest exponent prime factors of 9466 and 9473. First we will calculate the prime factors of 9466 and 9473.

Prime Factorization of 9466


2 9466
4733 4733
1

Prime factors of 9466 are 2,4733. Prime factorization of 9466 in exponential form is:

9466 = 21×47331

Prime Factorization of 9473


9473 9473
1

Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:

9473 = 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 9466 and 9473.

LCM(9466,9473) = 21×47331×94731
LCM(9466,9473) = 89671418

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1, 2, 4733, 9466

Factors of 9473

List of positive integer factors of 9473 that divides 9473 without a remainder.

1, 9473

Least Common Multiple of 9466 and 9473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9466 and 9473, than apply into the LCM equation.

GCF(9466,9473) = 1
LCM(9466,9473) = ( 9466 × 9473) / 1
LCM(9466,9473) = 89671418 / 1
LCM(9466,9473) = 89671418

Properties of LCM 9466 and 9473

(i) The LCM of 9473 and 9466 is associative

LCM of 9466 and 9473 = LCM of 9473 and 9466

Related Least Common Multiples of 9466

Related Least Common Multiples of 9473

Frequently Asked Questions on LCM of 9466 and 9473

1. What is the LCM of 9466 and 9473?

Answer: LCM of 9466 and 9473 is 89671418.

2. What are the Factors of 9466?

Answer: Factors of 9466 are 1, 2, 4733, 9466. There are 4 integers that are factors of 9466. The greatest factor of 9466 is 9466.

3. What are the Factors of 9473?

Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.

4. How to Find the LCM of 9466 and 9473?

Answer:

Least Common Multiple of 9466 and 9473 = 89671418

Step 1: Find the prime factorization of 9466

9466 = 2 x 4733

Step 2: Find the prime factorization of 9473

9473 = 9473

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

LCM = 89671418 = 2 x 4733 x 9473

Step 4: Therefore, the least common multiple of 9466 and 9473 is 89671418.