Least Common Multiple of 9434 and 9441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9434 and 9441 the smallest integer that is 89066394 that is divisible by both numbers.

Least Common Multiple (LCM) of 9434 and 9441 is 89066394.

LCM(9434,9441) = 89066394

LCM of 9434 and 9441

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

LCM of:
and

Least Common Multiple of 9434 and 9441

LCM of 9434 and 9441 is 89066394

Least common multiple can be found by multiplying the highest exponent prime factors of 9434 and 9441. First we will calculate the prime factors of 9434 and 9441.

Prime Factorization of 9434


2 9434
53 4717
89 89
1

Prime factors of 9434 are 2, 53,89. Prime factorization of 9434 in exponential form is:

9434 = 21×531×891

Prime Factorization of 9441


3 9441
3 3147
1049 1049
1

Prime factors of 9441 are 3,1049. Prime factorization of 9441 in exponential form is:

9441 = 32×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 9434 and 9441.

LCM(9434,9441) = 21×32×531×891×10491
LCM(9434,9441) = 89066394

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1, 2, 53, 89, 106, 178, 4717, 9434

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1, 3, 9, 1049, 3147, 9441

Least Common Multiple of 9434 and 9441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9434 and 9441, than apply into the LCM equation.

GCF(9434,9441) = 1
LCM(9434,9441) = ( 9434 × 9441) / 1
LCM(9434,9441) = 89066394 / 1
LCM(9434,9441) = 89066394

Properties of LCM 9434 and 9441

(i) The LCM of 9441 and 9434 is associative

LCM of 9434 and 9441 = LCM of 9441 and 9434

Related Least Common Multiples of 9434

Related Least Common Multiples of 9441

Frequently Asked Questions on LCM of 9434 and 9441

1. What is the LCM of 9434 and 9441?

Answer: LCM of 9434 and 9441 is 89066394.

2. What are the Factors of 9434?

Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.

3. What are the Factors of 9441?

Answer: Factors of 9441 are 1, 3, 9, 1049, 3147, 9441. There are 6 integers that are factors of 9441. The greatest factor of 9441 is 9441.

4. How to Find the LCM of 9434 and 9441?

Answer:

Least Common Multiple of 9434 and 9441 = 89066394

Step 1: Find the prime factorization of 9434

9434 = 2 x 53 x 89

Step 2: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

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

LCM = 89066394 = 2 x 3 x 3 x 53 x 89 x 1049

Step 4: Therefore, the least common multiple of 9434 and 9441 is 89066394.