Least Common Multiple of 8439 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 8439 and 8445 the smallest integer that is 23755785 that is divisible by both numbers.

Least Common Multiple (LCM) of 8439 and 8445 is 23755785.

LCM(8439,8445) = 23755785

LCM of 8439 and 8445

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

LCM of:
and

Least Common Multiple of 8439 and 8445

LCM of 8439 and 8445 is 23755785

Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8445. First we will calculate the prime factors of 8439 and 8445.

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 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 8439 and 8445.

LCM(8439,8445) = 31×51×291×971×5631
LCM(8439,8445) = 23755785

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 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 8439 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 8439 and 8445, than apply into the LCM equation.

GCF(8439,8445) = 3
LCM(8439,8445) = ( 8439 × 8445) / 3
LCM(8439,8445) = 71267355 / 3
LCM(8439,8445) = 23755785

Properties of LCM 8439 and 8445

(i) The LCM of 8445 and 8439 is associative

LCM of 8439 and 8445 = LCM of 8445 and 8439

Related Least Common Multiples of 8439

Related Least Common Multiples of 8445

Frequently Asked Questions on LCM of 8439 and 8445

1. What is the LCM of 8439 and 8445?

Answer: LCM of 8439 and 8445 is 23755785.

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 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 8439 and 8445?

Answer:

Least Common Multiple of 8439 and 8445 = 23755785

Step 1: Find the prime factorization of 8439

8439 = 3 x 29 x 97

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 = 23755785 = 3 x 5 x 29 x 97 x 563

Step 4: Therefore, the least common multiple of 8439 and 8445 is 23755785.