Least Common Multiple of 8431 and 8438

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 8438 the smallest integer that is 71140778 that is divisible by both numbers.

Least Common Multiple (LCM) of 8431 and 8438 is 71140778.

LCM(8431,8438) = 71140778

LCM of 8431 and 8438

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

LCM of:
and

Least Common Multiple of 8431 and 8438

LCM of 8431 and 8438 is 71140778

Least common multiple can be found by multiplying the highest exponent prime factors of 8431 and 8438. First we will calculate the prime factors of 8431 and 8438.

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 8438


2 8438
4219 4219
1

Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:

8438 = 21×42191

Now multiplying the highest exponent prime factors to calculate the LCM of 8431 and 8438.

LCM(8431,8438) = 21×42191×84311
LCM(8431,8438) = 71140778

Factors of 8431

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

1, 8431

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1, 2, 4219, 8438

Least Common Multiple of 8431 and 8438 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 8438, than apply into the LCM equation.

GCF(8431,8438) = 1
LCM(8431,8438) = ( 8431 × 8438) / 1
LCM(8431,8438) = 71140778 / 1
LCM(8431,8438) = 71140778

Properties of LCM 8431 and 8438

(i) The LCM of 8438 and 8431 is associative

LCM of 8431 and 8438 = LCM of 8438 and 8431

Related Least Common Multiples of 8431

Related Least Common Multiples of 8438

Frequently Asked Questions on LCM of 8431 and 8438

1. What is the LCM of 8431 and 8438?

Answer: LCM of 8431 and 8438 is 71140778.

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 8438?

Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.

4. How to Find the LCM of 8431 and 8438?

Answer:

Least Common Multiple of 8431 and 8438 = 71140778

Step 1: Find the prime factorization of 8431

8431 = 8431

Step 2: Find the prime factorization of 8438

8438 = 2 x 4219

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

LCM = 71140778 = 2 x 4219 x 8431

Step 4: Therefore, the least common multiple of 8431 and 8438 is 71140778.