Least Common Multiple of 8429 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 8429 and 8431 the smallest integer that is 71064899 that is divisible by both numbers.

Least Common Multiple (LCM) of 8429 and 8431 is 71064899.

LCM(8429,8431) = 71064899

LCM of 8429 and 8431

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

LCM of:
and

Least Common Multiple of 8429 and 8431

LCM of 8429 and 8431 is 71064899

Least common multiple can be found by multiplying the highest exponent prime factors of 8429 and 8431. First we will calculate the prime factors of 8429 and 8431.

Prime Factorization of 8429


8429 8429
1

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 84291

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 8429 and 8431.

LCM(8429,8431) = 84291×84311
LCM(8429,8431) = 71064899

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1, 8429

Factors of 8431

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

1, 8431

Least Common Multiple of 8429 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 8429 and 8431, than apply into the LCM equation.

GCF(8429,8431) = 1
LCM(8429,8431) = ( 8429 × 8431) / 1
LCM(8429,8431) = 71064899 / 1
LCM(8429,8431) = 71064899

Properties of LCM 8429 and 8431

(i) The LCM of 8431 and 8429 is associative

LCM of 8429 and 8431 = LCM of 8431 and 8429

Related Least Common Multiples of 8429

Related Least Common Multiples of 8431

Frequently Asked Questions on LCM of 8429 and 8431

1. What is the LCM of 8429 and 8431?

Answer: LCM of 8429 and 8431 is 71064899.

2. What are the Factors of 8429?

Answer: Factors of 8429 are 1, 8429. There are 2 integers that are factors of 8429. The greatest factor of 8429 is 8429.

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 8429 and 8431?

Answer:

Least Common Multiple of 8429 and 8431 = 71064899

Step 1: Find the prime factorization of 8429

8429 = 8429

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 = 71064899 = 8429 x 8431

Step 4: Therefore, the least common multiple of 8429 and 8431 is 71064899.