Least Common Multiple of 8441 and 8445

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 8445 the smallest integer that is 71284245 that is divisible by both numbers.

Least Common Multiple (LCM) of 8441 and 8445 is 71284245.

LCM(8441,8445) = 71284245

LCM of 8441 and 8445

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

LCM of:
and

Least Common Multiple of 8441 and 8445

LCM of 8441 and 8445 is 71284245

Least common multiple can be found by multiplying the highest exponent prime factors of 8441 and 8445. First we will calculate the prime factors of 8441 and 8445.

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 8445


3 8445
5 2815
563 563
1

Prime factors of 8445 are 3, 5,563. Prime factorization of 8445 in exponential form is:

8445 = 31×51×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 8441 and 8445.

LCM(8441,8445) = 31×51×231×3671×5631
LCM(8441,8445) = 71284245

Factors of 8441

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

1, 23, 367, 8441

Factors of 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1, 3, 5, 15, 563, 1689, 2815, 8445

Least Common Multiple of 8441 and 8445 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 8445, than apply into the LCM equation.

GCF(8441,8445) = 1
LCM(8441,8445) = ( 8441 × 8445) / 1
LCM(8441,8445) = 71284245 / 1
LCM(8441,8445) = 71284245

Properties of LCM 8441 and 8445

(i) The LCM of 8445 and 8441 is associative

LCM of 8441 and 8445 = LCM of 8445 and 8441

Related Least Common Multiples of 8441

Related Least Common Multiples of 8445

Frequently Asked Questions on LCM of 8441 and 8445

1. What is the LCM of 8441 and 8445?

Answer: LCM of 8441 and 8445 is 71284245.

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 8445?

Answer: Factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445. There are 8 integers that are factors of 8445. The greatest factor of 8445 is 8445.

4. How to Find the LCM of 8441 and 8445?

Answer:

Least Common Multiple of 8441 and 8445 = 71284245

Step 1: Find the prime factorization of 8441

8441 = 23 x 367

Step 2: Find the prime factorization of 8445

8445 = 3 x 5 x 563

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

LCM = 71284245 = 3 x 5 x 23 x 367 x 563

Step 4: Therefore, the least common multiple of 8441 and 8445 is 71284245.