Least Common Multiple of 9466 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 9466 and 9470 the smallest integer that is 44821510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9466 and 9470 is 44821510.

LCM(9466,9470) = 44821510

LCM of 9466 and 9470

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

LCM of:
and

Least Common Multiple of 9466 and 9470

LCM of 9466 and 9470 is 44821510

Least common multiple can be found by multiplying the highest exponent prime factors of 9466 and 9470. First we will calculate the prime factors of 9466 and 9470.

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 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 9466 and 9470.

LCM(9466,9470) = 21×51×9471×47331
LCM(9466,9470) = 44821510

Factors of 9466

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

1, 2, 4733, 9466

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 9466 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 9466 and 9470, than apply into the LCM equation.

GCF(9466,9470) = 2
LCM(9466,9470) = ( 9466 × 9470) / 2
LCM(9466,9470) = 89643020 / 2
LCM(9466,9470) = 44821510

Properties of LCM 9466 and 9470

(i) The LCM of 9470 and 9466 is associative

LCM of 9466 and 9470 = LCM of 9470 and 9466

Related Least Common Multiples of 9466

Related Least Common Multiples of 9470

Frequently Asked Questions on LCM of 9466 and 9470

1. What is the LCM of 9466 and 9470?

Answer: LCM of 9466 and 9470 is 44821510.

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 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 9466 and 9470?

Answer:

Least Common Multiple of 9466 and 9470 = 44821510

Step 1: Find the prime factorization of 9466

9466 = 2 x 4733

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 = 44821510 = 2 x 5 x 947 x 4733

Step 4: Therefore, the least common multiple of 9466 and 9470 is 44821510.