Least Common Multiple of 8427 and 8431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8427 and 8431 the smallest integer that is 71048037 that is divisible by both numbers.

Least Common Multiple (LCM) of 8427 and 8431 is 71048037.

LCM(8427,8431) = 71048037

LCM of 8427 and 8431

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

LCM of:
and

Least Common Multiple of 8427 and 8431

LCM of 8427 and 8431 is 71048037

Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8431. First we will calculate the prime factors of 8427 and 8431.

Prime Factorization of 8427


3 8427
53 2809
53 53
1

Prime factors of 8427 are 3,53. Prime factorization of 8427 in exponential form is:

8427 = 31×532

Prime Factorization of 8431


8431 8431
1

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

8431 = 84311

Now multiplying the highest exponent prime factors to calculate the LCM of 8427 and 8431.

LCM(8427,8431) = 31×532×84311
LCM(8427,8431) = 71048037

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1, 3, 53, 159, 2809, 8427

Factors of 8431

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

1, 8431

Least Common Multiple of 8427 and 8431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8427 and 8431, than apply into the LCM equation.

GCF(8427,8431) = 1
LCM(8427,8431) = ( 8427 × 8431) / 1
LCM(8427,8431) = 71048037 / 1
LCM(8427,8431) = 71048037

Properties of LCM 8427 and 8431

(i) The LCM of 8431 and 8427 is associative

LCM of 8427 and 8431 = LCM of 8431 and 8427

Related Least Common Multiples of 8427

Related Least Common Multiples of 8431

Frequently Asked Questions on LCM of 8427 and 8431

1. What is the LCM of 8427 and 8431?

Answer: LCM of 8427 and 8431 is 71048037.

2. What are the Factors of 8427?

Answer: Factors of 8427 are 1, 3, 53, 159, 2809, 8427. There are 6 integers that are factors of 8427. The greatest factor of 8427 is 8427.

3. 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.

4. How to Find the LCM of 8427 and 8431?

Answer:

Least Common Multiple of 8427 and 8431 = 71048037

Step 1: Find the prime factorization of 8427

8427 = 3 x 53 x 53

Step 2: Find the prime factorization of 8431

8431 = 8431

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

LCM = 71048037 = 3 x 53 x 53 x 8431

Step 4: Therefore, the least common multiple of 8427 and 8431 is 71048037.