Least Common Multiple of 8428 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 8428 and 8431 the smallest integer that is 71056468 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8431 is 71056468.

LCM(8428,8431) = 71056468

LCM of 8428 and 8431

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

LCM of:
and

Least Common Multiple of 8428 and 8431

LCM of 8428 and 8431 is 71056468

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8431. First we will calculate the prime factors of 8428 and 8431.

Prime Factorization of 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2, 7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

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 8428 and 8431.

LCM(8428,8431) = 22×72×431×84311
LCM(8428,8431) = 71056468

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

Factors of 8431

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

1, 8431

Least Common Multiple of 8428 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 8428 and 8431, than apply into the LCM equation.

GCF(8428,8431) = 1
LCM(8428,8431) = ( 8428 × 8431) / 1
LCM(8428,8431) = 71056468 / 1
LCM(8428,8431) = 71056468

Properties of LCM 8428 and 8431

(i) The LCM of 8431 and 8428 is associative

LCM of 8428 and 8431 = LCM of 8431 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8431

Frequently Asked Questions on LCM of 8428 and 8431

1. What is the LCM of 8428 and 8431?

Answer: LCM of 8428 and 8431 is 71056468.

2. What are the Factors of 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

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 8428 and 8431?

Answer:

Least Common Multiple of 8428 and 8431 = 71056468

Step 1: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

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 = 71056468 = 2 x 2 x 7 x 7 x 43 x 8431

Step 4: Therefore, the least common multiple of 8428 and 8431 is 71056468.