Least Common Multiple of 8422 and 8428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8422 and 8428 the smallest integer that is 35490308 that is divisible by both numbers.

Least Common Multiple (LCM) of 8422 and 8428 is 35490308.

LCM(8422,8428) = 35490308

LCM of 8422 and 8428

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

LCM of:
and

Least Common Multiple of 8422 and 8428

LCM of 8422 and 8428 is 35490308

Least common multiple can be found by multiplying the highest exponent prime factors of 8422 and 8428. First we will calculate the prime factors of 8422 and 8428.

Prime Factorization of 8422


2 8422
4211 4211
1

Prime factors of 8422 are 2,4211. Prime factorization of 8422 in exponential form is:

8422 = 21×42111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8422 and 8428.

LCM(8422,8428) = 22×72×431×42111
LCM(8422,8428) = 35490308

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1, 2, 4211, 8422

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

Least Common Multiple of 8422 and 8428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8422 and 8428, than apply into the LCM equation.

GCF(8422,8428) = 2
LCM(8422,8428) = ( 8422 × 8428) / 2
LCM(8422,8428) = 70980616 / 2
LCM(8422,8428) = 35490308

Properties of LCM 8422 and 8428

(i) The LCM of 8428 and 8422 is associative

LCM of 8422 and 8428 = LCM of 8428 and 8422

Related Least Common Multiples of 8422

Related Least Common Multiples of 8428

Frequently Asked Questions on LCM of 8422 and 8428

1. What is the LCM of 8422 and 8428?

Answer: LCM of 8422 and 8428 is 35490308.

2. What are the Factors of 8422?

Answer: Factors of 8422 are 1, 2, 4211, 8422. There are 4 integers that are factors of 8422. The greatest factor of 8422 is 8422.

3. 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.

4. How to Find the LCM of 8422 and 8428?

Answer:

Least Common Multiple of 8422 and 8428 = 35490308

Step 1: Find the prime factorization of 8422

8422 = 2 x 4211

Step 2: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

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

LCM = 35490308 = 2 x 2 x 7 x 7 x 43 x 4211

Step 4: Therefore, the least common multiple of 8422 and 8428 is 35490308.