Least Common Multiple of 8428 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 8428 and 8433 the smallest integer that is 71073324 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8433 is 71073324.

LCM(8428,8433) = 71073324

LCM of 8428 and 8433

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

LCM of:
and

Least Common Multiple of 8428 and 8433

LCM of 8428 and 8433 is 71073324

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8433. First we will calculate the prime factors of 8428 and 8433.

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 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 8428 and 8433.

LCM(8428,8433) = 22×32×72×431×9371
LCM(8428,8433) = 71073324

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 8433

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

1, 3, 9, 937, 2811, 8433

Least Common Multiple of 8428 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 8428 and 8433, than apply into the LCM equation.

GCF(8428,8433) = 1
LCM(8428,8433) = ( 8428 × 8433) / 1
LCM(8428,8433) = 71073324 / 1
LCM(8428,8433) = 71073324

Properties of LCM 8428 and 8433

(i) The LCM of 8433 and 8428 is associative

LCM of 8428 and 8433 = LCM of 8433 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8433

Frequently Asked Questions on LCM of 8428 and 8433

1. What is the LCM of 8428 and 8433?

Answer: LCM of 8428 and 8433 is 71073324.

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 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 8428 and 8433?

Answer:

Least Common Multiple of 8428 and 8433 = 71073324

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 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 = 71073324 = 2 x 2 x 3 x 3 x 7 x 7 x 43 x 937

Step 4: Therefore, the least common multiple of 8428 and 8433 is 71073324.