Least Common Multiple of 8428 and 8432

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 8432 the smallest integer that is 17766224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8432 is 17766224.

LCM(8428,8432) = 17766224

LCM of 8428 and 8432

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

LCM of:
and

Least Common Multiple of 8428 and 8432

LCM of 8428 and 8432 is 17766224

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8432. First we will calculate the prime factors of 8428 and 8432.

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 8432


2 8432
2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 8432 are 2, 17,31. Prime factorization of 8432 in exponential form is:

8432 = 24×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8428 and 8432.

LCM(8428,8432) = 24×72×171×311×431
LCM(8428,8432) = 17766224

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 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432

Least Common Multiple of 8428 and 8432 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 8432, than apply into the LCM equation.

GCF(8428,8432) = 4
LCM(8428,8432) = ( 8428 × 8432) / 4
LCM(8428,8432) = 71064896 / 4
LCM(8428,8432) = 17766224

Properties of LCM 8428 and 8432

(i) The LCM of 8432 and 8428 is associative

LCM of 8428 and 8432 = LCM of 8432 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8432

Frequently Asked Questions on LCM of 8428 and 8432

1. What is the LCM of 8428 and 8432?

Answer: LCM of 8428 and 8432 is 17766224.

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 8432?

Answer: Factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432. There are 20 integers that are factors of 8432. The greatest factor of 8432 is 8432.

4. How to Find the LCM of 8428 and 8432?

Answer:

Least Common Multiple of 8428 and 8432 = 17766224

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 8432

8432 = 2 x 2 x 2 x 2 x 17 x 31

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

LCM = 17766224 = 2 x 2 x 2 x 2 x 7 x 7 x 17 x 31 x 43

Step 4: Therefore, the least common multiple of 8428 and 8432 is 17766224.