Least Common Multiple of 422 and 428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 422 and 428 the smallest integer that is 90308 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 428 is 90308.

LCM(422,428) = 90308

LCM of 422 and 428

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

LCM of:
and

Least Common Multiple of 422 and 428

LCM of 422 and 428 is 90308

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 428. First we will calculate the prime factors of 422 and 428.

Prime Factorization of 422


2 422
211 211
1

Prime factors of 422 are 2,211. Prime factorization of 422 in exponential form is:

422 = 21×2111

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 428.

LCM(422,428) = 22×1071×2111
LCM(422,428) = 90308

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Least Common Multiple of 422 and 428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 422 and 428, than apply into the LCM equation.

GCF(422,428) = 2
LCM(422,428) = ( 422 × 428) / 2
LCM(422,428) = 180616 / 2
LCM(422,428) = 90308

Properties of LCM 422 and 428

(i) The LCM of 428 and 422 is associative

LCM of 422 and 428 = LCM of 428 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 428

Frequently Asked Questions on LCM of 422 and 428

1. What is the LCM of 422 and 428?

Answer: LCM of 422 and 428 is 90308.

2. What are the Factors of 422?

Answer: Factors of 422 are 1, 2, 211, 422. There are 4 integers that are factors of 422. The greatest factor of 422 is 422.

3. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

4. How to Find the LCM of 422 and 428?

Answer:

Least Common Multiple of 422 and 428 = 90308

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 428

428 = 2 x 2 x 107

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

LCM = 90308 = 2 x 2 x 107 x 211

Step 4: Therefore, the least common multiple of 422 and 428 is 90308.