Least Common Multiple of 8431 and 8433

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 8433 the smallest integer that is 71098623 that is divisible by both numbers.

Least Common Multiple (LCM) of 8431 and 8433 is 71098623.

LCM(8431,8433) = 71098623

LCM of 8431 and 8433

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

LCM of:
and

Least Common Multiple of 8431 and 8433

LCM of 8431 and 8433 is 71098623

Least common multiple can be found by multiplying the highest exponent prime factors of 8431 and 8433. First we will calculate the prime factors of 8431 and 8433.

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 8433


3 8433
3 2811
937 937
1

Prime factors of 8433 are 3,937. Prime factorization of 8433 in exponential form is:

8433 = 32×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 8431 and 8433.

LCM(8431,8433) = 32×9371×84311
LCM(8431,8433) = 71098623

Factors of 8431

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

1, 8431

Factors of 8433

List of positive integer factors of 8433 that divides 8433 without a remainder.

1, 3, 9, 937, 2811, 8433

Least Common Multiple of 8431 and 8433 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 8433, than apply into the LCM equation.

GCF(8431,8433) = 1
LCM(8431,8433) = ( 8431 × 8433) / 1
LCM(8431,8433) = 71098623 / 1
LCM(8431,8433) = 71098623

Properties of LCM 8431 and 8433

(i) The LCM of 8433 and 8431 is associative

LCM of 8431 and 8433 = LCM of 8433 and 8431

Related Least Common Multiples of 8431

Related Least Common Multiples of 8433

Frequently Asked Questions on LCM of 8431 and 8433

1. What is the LCM of 8431 and 8433?

Answer: LCM of 8431 and 8433 is 71098623.

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 8433?

Answer: Factors of 8433 are 1, 3, 9, 937, 2811, 8433. There are 6 integers that are factors of 8433. The greatest factor of 8433 is 8433.

4. How to Find the LCM of 8431 and 8433?

Answer:

Least Common Multiple of 8431 and 8433 = 71098623

Step 1: Find the prime factorization of 8431

8431 = 8431

Step 2: Find the prime factorization of 8433

8433 = 3 x 3 x 937

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

LCM = 71098623 = 3 x 3 x 937 x 8431

Step 4: Therefore, the least common multiple of 8431 and 8433 is 71098623.