Least Common Multiple of 8431 and 8439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8431 and 8439 the smallest integer that is 71149209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8431 and 8439 is 71149209.

LCM(8431,8439) = 71149209

LCM of 8431 and 8439

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

LCM of:
and

Least Common Multiple of 8431 and 8439

LCM of 8431 and 8439 is 71149209

Least common multiple can be found by multiplying the highest exponent prime factors of 8431 and 8439. First we will calculate the prime factors of 8431 and 8439.

Prime Factorization of 8431


8431 8431
1

Prime factors of 8431 are 8431. Prime factorization of 8431 in exponential form is:

8431 = 84311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8431 and 8439.

LCM(8431,8439) = 31×291×971×84311
LCM(8431,8439) = 71149209

Factors of 8431

List of positive integer factors of 8431 that divides 8431 without a remainder.

1, 8431

Factors of 8439

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

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

Least Common Multiple of 8431 and 8439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8431 and 8439, than apply into the LCM equation.

GCF(8431,8439) = 1
LCM(8431,8439) = ( 8431 × 8439) / 1
LCM(8431,8439) = 71149209 / 1
LCM(8431,8439) = 71149209

Properties of LCM 8431 and 8439

(i) The LCM of 8439 and 8431 is associative

LCM of 8431 and 8439 = LCM of 8439 and 8431

Related Least Common Multiples of 8431

Related Least Common Multiples of 8439

Frequently Asked Questions on LCM of 8431 and 8439

1. What is the LCM of 8431 and 8439?

Answer: LCM of 8431 and 8439 is 71149209.

2. What are the Factors of 8431?

Answer: Factors of 8431 are 1, 8431. There are 2 integers that are factors of 8431. The greatest factor of 8431 is 8431.

3. 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.

4. How to Find the LCM of 8431 and 8439?

Answer:

Least Common Multiple of 8431 and 8439 = 71149209

Step 1: Find the prime factorization of 8431

8431 = 8431

Step 2: Find the prime factorization of 8439

8439 = 3 x 29 x 97

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

LCM = 71149209 = 3 x 29 x 97 x 8431

Step 4: Therefore, the least common multiple of 8431 and 8439 is 71149209.