Least Common Multiple of 8428 and 8430

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 8430 the smallest integer that is 35524020 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8430 is 35524020.

LCM(8428,8430) = 35524020

LCM of 8428 and 8430

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

LCM of:
and

Least Common Multiple of 8428 and 8430

LCM of 8428 and 8430 is 35524020

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8430. First we will calculate the prime factors of 8428 and 8430.

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 8430


2 8430
3 4215
5 1405
281 281
1

Prime factors of 8430 are 2, 3, 5,281. Prime factorization of 8430 in exponential form is:

8430 = 21×31×51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8428 and 8430.

LCM(8428,8430) = 22×31×51×72×431×2811
LCM(8428,8430) = 35524020

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 8430

List of positive integer factors of 8430 that divides 8430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430

Least Common Multiple of 8428 and 8430 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 8430, than apply into the LCM equation.

GCF(8428,8430) = 2
LCM(8428,8430) = ( 8428 × 8430) / 2
LCM(8428,8430) = 71048040 / 2
LCM(8428,8430) = 35524020

Properties of LCM 8428 and 8430

(i) The LCM of 8430 and 8428 is associative

LCM of 8428 and 8430 = LCM of 8430 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8430

Frequently Asked Questions on LCM of 8428 and 8430

1. What is the LCM of 8428 and 8430?

Answer: LCM of 8428 and 8430 is 35524020.

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 8430?

Answer: Factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430. There are 16 integers that are factors of 8430. The greatest factor of 8430 is 8430.

4. How to Find the LCM of 8428 and 8430?

Answer:

Least Common Multiple of 8428 and 8430 = 35524020

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 8430

8430 = 2 x 3 x 5 x 281

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

LCM = 35524020 = 2 x 2 x 3 x 5 x 7 x 7 x 43 x 281

Step 4: Therefore, the least common multiple of 8428 and 8430 is 35524020.