Least Common Multiple of 8441 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 8441 and 8447 the smallest integer that is 71301127 that is divisible by both numbers.

Least Common Multiple (LCM) of 8441 and 8447 is 71301127.

LCM(8441,8447) = 71301127

LCM of 8441 and 8447

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

LCM of:
and

Least Common Multiple of 8441 and 8447

LCM of 8441 and 8447 is 71301127

Least common multiple can be found by multiplying the highest exponent prime factors of 8441 and 8447. First we will calculate the prime factors of 8441 and 8447.

Prime Factorization of 8441


23 8441
367 367
1

Prime factors of 8441 are 23,367. Prime factorization of 8441 in exponential form is:

8441 = 231×3671

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 8441 and 8447.

LCM(8441,8447) = 231×3671×84471
LCM(8441,8447) = 71301127

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1, 23, 367, 8441

Factors of 8447

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

1, 8447

Least Common Multiple of 8441 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 8441 and 8447, than apply into the LCM equation.

GCF(8441,8447) = 1
LCM(8441,8447) = ( 8441 × 8447) / 1
LCM(8441,8447) = 71301127 / 1
LCM(8441,8447) = 71301127

Properties of LCM 8441 and 8447

(i) The LCM of 8447 and 8441 is associative

LCM of 8441 and 8447 = LCM of 8447 and 8441

Related Least Common Multiples of 8441

Related Least Common Multiples of 8447

Frequently Asked Questions on LCM of 8441 and 8447

1. What is the LCM of 8441 and 8447?

Answer: LCM of 8441 and 8447 is 71301127.

2. What are the Factors of 8441?

Answer: Factors of 8441 are 1, 23, 367, 8441. There are 4 integers that are factors of 8441. The greatest factor of 8441 is 8441.

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 8441 and 8447?

Answer:

Least Common Multiple of 8441 and 8447 = 71301127

Step 1: Find the prime factorization of 8441

8441 = 23 x 367

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 = 71301127 = 23 x 367 x 8447

Step 4: Therefore, the least common multiple of 8441 and 8447 is 71301127.