Least Common Multiple of 422 and 424

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 424 the smallest integer that is 89464 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 424 is 89464.

LCM(422,424) = 89464

LCM of 422 and 424

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

LCM of:
and

Least Common Multiple of 422 and 424

LCM of 422 and 424 is 89464

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 424. First we will calculate the prime factors of 422 and 424.

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 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 424.

LCM(422,424) = 23×531×2111
LCM(422,424) = 89464

Factors of 422

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

1, 2, 211, 422

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Least Common Multiple of 422 and 424 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 424, than apply into the LCM equation.

GCF(422,424) = 2
LCM(422,424) = ( 422 × 424) / 2
LCM(422,424) = 178928 / 2
LCM(422,424) = 89464

Properties of LCM 422 and 424

(i) The LCM of 424 and 422 is associative

LCM of 422 and 424 = LCM of 424 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 424

Frequently Asked Questions on LCM of 422 and 424

1. What is the LCM of 422 and 424?

Answer: LCM of 422 and 424 is 89464.

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 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

4. How to Find the LCM of 422 and 424?

Answer:

Least Common Multiple of 422 and 424 = 89464

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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

LCM = 89464 = 2 x 2 x 2 x 53 x 211

Step 4: Therefore, the least common multiple of 422 and 424 is 89464.