Least Common Multiple of 8439 and 8443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8439 and 8443 the smallest integer that is 71250477 that is divisible by both numbers.

Least Common Multiple (LCM) of 8439 and 8443 is 71250477.

LCM(8439,8443) = 71250477

LCM of 8439 and 8443

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

LCM of:
and

Least Common Multiple of 8439 and 8443

LCM of 8439 and 8443 is 71250477

Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8443. First we will calculate the prime factors of 8439 and 8443.

Prime Factorization of 8439


3 8439
29 2813
97 97
1

Prime factors of 8439 are 3, 29,97. Prime factorization of 8439 in exponential form is:

8439 = 31×291×971

Prime Factorization of 8443


8443 8443
1

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

8443 = 84431

Now multiplying the highest exponent prime factors to calculate the LCM of 8439 and 8443.

LCM(8439,8443) = 31×291×971×84431
LCM(8439,8443) = 71250477

Factors of 8439

List of positive integer factors of 8439 that divides 8439 without a remainder.

1, 3, 29, 87, 97, 291, 2813, 8439

Factors of 8443

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

1, 8443

Least Common Multiple of 8439 and 8443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8439 and 8443, than apply into the LCM equation.

GCF(8439,8443) = 1
LCM(8439,8443) = ( 8439 × 8443) / 1
LCM(8439,8443) = 71250477 / 1
LCM(8439,8443) = 71250477

Properties of LCM 8439 and 8443

(i) The LCM of 8443 and 8439 is associative

LCM of 8439 and 8443 = LCM of 8443 and 8439

Related Least Common Multiples of 8439

Related Least Common Multiples of 8443

Frequently Asked Questions on LCM of 8439 and 8443

1. What is the LCM of 8439 and 8443?

Answer: LCM of 8439 and 8443 is 71250477.

2. What are the Factors of 8439?

Answer: Factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439. There are 8 integers that are factors of 8439. The greatest factor of 8439 is 8439.

3. 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.

4. How to Find the LCM of 8439 and 8443?

Answer:

Least Common Multiple of 8439 and 8443 = 71250477

Step 1: Find the prime factorization of 8439

8439 = 3 x 29 x 97

Step 2: Find the prime factorization of 8443

8443 = 8443

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

LCM = 71250477 = 3 x 29 x 97 x 8443

Step 4: Therefore, the least common multiple of 8439 and 8443 is 71250477.