Least Common Multiple of 8434 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 8434 and 8439 the smallest integer that is 71174526 that is divisible by both numbers.

Least Common Multiple (LCM) of 8434 and 8439 is 71174526.

LCM(8434,8439) = 71174526

LCM of 8434 and 8439

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

LCM of:
and

Least Common Multiple of 8434 and 8439

LCM of 8434 and 8439 is 71174526

Least common multiple can be found by multiplying the highest exponent prime factors of 8434 and 8439. First we will calculate the prime factors of 8434 and 8439.

Prime Factorization of 8434


2 8434
4217 4217
1

Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:

8434 = 21×42171

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 8434 and 8439.

LCM(8434,8439) = 21×31×291×971×42171
LCM(8434,8439) = 71174526

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1, 2, 4217, 8434

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 8434 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 8434 and 8439, than apply into the LCM equation.

GCF(8434,8439) = 1
LCM(8434,8439) = ( 8434 × 8439) / 1
LCM(8434,8439) = 71174526 / 1
LCM(8434,8439) = 71174526

Properties of LCM 8434 and 8439

(i) The LCM of 8439 and 8434 is associative

LCM of 8434 and 8439 = LCM of 8439 and 8434

Related Least Common Multiples of 8434

Related Least Common Multiples of 8439

Frequently Asked Questions on LCM of 8434 and 8439

1. What is the LCM of 8434 and 8439?

Answer: LCM of 8434 and 8439 is 71174526.

2. What are the Factors of 8434?

Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.

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 8434 and 8439?

Answer:

Least Common Multiple of 8434 and 8439 = 71174526

Step 1: Find the prime factorization of 8434

8434 = 2 x 4217

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 = 71174526 = 2 x 3 x 29 x 97 x 4217

Step 4: Therefore, the least common multiple of 8434 and 8439 is 71174526.