Least Common Multiple of 8443 and 8447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8443 and 8447 the smallest integer that is 71318021 that is divisible by both numbers.

Least Common Multiple (LCM) of 8443 and 8447 is 71318021.

LCM(8443,8447) = 71318021

LCM of 8443 and 8447

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

LCM of:
and

Least Common Multiple of 8443 and 8447

LCM of 8443 and 8447 is 71318021

Least common multiple can be found by multiplying the highest exponent prime factors of 8443 and 8447. First we will calculate the prime factors of 8443 and 8447.

Prime Factorization of 8443


8443 8443
1

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

Prime Factorization of 8447


8447 8447
1

Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:

8447 = 84471

Now multiplying the highest exponent prime factors to calculate the LCM of 8443 and 8447.

LCM(8443,8447) = 84431×84471
LCM(8443,8447) = 71318021

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1, 8443

Factors of 8447

List of positive integer factors of 8447 that divides 8447 without a remainder.

1, 8447

Least Common Multiple of 8443 and 8447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8443 and 8447, than apply into the LCM equation.

GCF(8443,8447) = 1
LCM(8443,8447) = ( 8443 × 8447) / 1
LCM(8443,8447) = 71318021 / 1
LCM(8443,8447) = 71318021

Properties of LCM 8443 and 8447

(i) The LCM of 8447 and 8443 is associative

LCM of 8443 and 8447 = LCM of 8447 and 8443

Related Least Common Multiples of 8443

Related Least Common Multiples of 8447

Frequently Asked Questions on LCM of 8443 and 8447

1. What is the LCM of 8443 and 8447?

Answer: LCM of 8443 and 8447 is 71318021.

2. What are the Factors of 8443?

Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.

3. What are the Factors of 8447?

Answer: Factors of 8447 are 1, 8447. There are 2 integers that are factors of 8447. The greatest factor of 8447 is 8447.

4. How to Find the LCM of 8443 and 8447?

Answer:

Least Common Multiple of 8443 and 8447 = 71318021

Step 1: Find the prime factorization of 8443

8443 = 8443

Step 2: Find the prime factorization of 8447

8447 = 8447

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

LCM = 71318021 = 8443 x 8447

Step 4: Therefore, the least common multiple of 8443 and 8447 is 71318021.