Least Common Multiple of 9461 and 9466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9461 and 9466 the smallest integer that is 89557826 that is divisible by both numbers.

Least Common Multiple (LCM) of 9461 and 9466 is 89557826.

LCM(9461,9466) = 89557826

LCM of 9461 and 9466

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

LCM of:
and

Least Common Multiple of 9461 and 9466

LCM of 9461 and 9466 is 89557826

Least common multiple can be found by multiplying the highest exponent prime factors of 9461 and 9466. First we will calculate the prime factors of 9461 and 9466.

Prime Factorization of 9461


9461 9461
1

Prime factors of 9461 are 9461. Prime factorization of 9461 in exponential form is:

9461 = 94611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9461 and 9466.

LCM(9461,9466) = 21×47331×94611
LCM(9461,9466) = 89557826

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1, 9461

Factors of 9466

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

1, 2, 4733, 9466

Least Common Multiple of 9461 and 9466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9461 and 9466, than apply into the LCM equation.

GCF(9461,9466) = 1
LCM(9461,9466) = ( 9461 × 9466) / 1
LCM(9461,9466) = 89557826 / 1
LCM(9461,9466) = 89557826

Properties of LCM 9461 and 9466

(i) The LCM of 9466 and 9461 is associative

LCM of 9461 and 9466 = LCM of 9466 and 9461

Related Least Common Multiples of 9461

Related Least Common Multiples of 9466

Frequently Asked Questions on LCM of 9461 and 9466

1. What is the LCM of 9461 and 9466?

Answer: LCM of 9461 and 9466 is 89557826.

2. What are the Factors of 9461?

Answer: Factors of 9461 are 1, 9461. There are 2 integers that are factors of 9461. The greatest factor of 9461 is 9461.

3. 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.

4. How to Find the LCM of 9461 and 9466?

Answer:

Least Common Multiple of 9461 and 9466 = 89557826

Step 1: Find the prime factorization of 9461

9461 = 9461

Step 2: Find the prime factorization of 9466

9466 = 2 x 4733

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

LCM = 89557826 = 2 x 4733 x 9461

Step 4: Therefore, the least common multiple of 9461 and 9466 is 89557826.