Least Common Multiple of 9461 and 9467

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 9467 the smallest integer that is 89567287 that is divisible by both numbers.

Least Common Multiple (LCM) of 9461 and 9467 is 89567287.

LCM(9461,9467) = 89567287

LCM of 9461 and 9467

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

LCM of:
and

Least Common Multiple of 9461 and 9467

LCM of 9461 and 9467 is 89567287

Least common multiple can be found by multiplying the highest exponent prime factors of 9461 and 9467. First we will calculate the prime factors of 9461 and 9467.

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 9467


9467 9467
1

Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:

9467 = 94671

Now multiplying the highest exponent prime factors to calculate the LCM of 9461 and 9467.

LCM(9461,9467) = 94611×94671
LCM(9461,9467) = 89567287

Factors of 9461

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

1, 9461

Factors of 9467

List of positive integer factors of 9467 that divides 9467 without a remainder.

1, 9467

Least Common Multiple of 9461 and 9467 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 9467, than apply into the LCM equation.

GCF(9461,9467) = 1
LCM(9461,9467) = ( 9461 × 9467) / 1
LCM(9461,9467) = 89567287 / 1
LCM(9461,9467) = 89567287

Properties of LCM 9461 and 9467

(i) The LCM of 9467 and 9461 is associative

LCM of 9461 and 9467 = LCM of 9467 and 9461

Related Least Common Multiples of 9461

Related Least Common Multiples of 9467

Frequently Asked Questions on LCM of 9461 and 9467

1. What is the LCM of 9461 and 9467?

Answer: LCM of 9461 and 9467 is 89567287.

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 9467?

Answer: Factors of 9467 are 1, 9467. There are 2 integers that are factors of 9467. The greatest factor of 9467 is 9467.

4. How to Find the LCM of 9461 and 9467?

Answer:

Least Common Multiple of 9461 and 9467 = 89567287

Step 1: Find the prime factorization of 9461

9461 = 9461

Step 2: Find the prime factorization of 9467

9467 = 9467

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

LCM = 89567287 = 9461 x 9467

Step 4: Therefore, the least common multiple of 9461 and 9467 is 89567287.