Least Common Multiple of 422 and 426

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 426 the smallest integer that is 89886 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 426 is 89886.

LCM(422,426) = 89886

LCM of 422 and 426

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

LCM of:
and

Least Common Multiple of 422 and 426

LCM of 422 and 426 is 89886

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 426. First we will calculate the prime factors of 422 and 426.

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 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 426.

LCM(422,426) = 21×31×711×2111
LCM(422,426) = 89886

Factors of 422

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

1, 2, 211, 422

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Least Common Multiple of 422 and 426 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 426, than apply into the LCM equation.

GCF(422,426) = 2
LCM(422,426) = ( 422 × 426) / 2
LCM(422,426) = 179772 / 2
LCM(422,426) = 89886

Properties of LCM 422 and 426

(i) The LCM of 426 and 422 is associative

LCM of 422 and 426 = LCM of 426 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 426

Frequently Asked Questions on LCM of 422 and 426

1. What is the LCM of 422 and 426?

Answer: LCM of 422 and 426 is 89886.

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 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

4. How to Find the LCM of 422 and 426?

Answer:

Least Common Multiple of 422 and 426 = 89886

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 426

426 = 2 x 3 x 71

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

LCM = 89886 = 2 x 3 x 71 x 211

Step 4: Therefore, the least common multiple of 422 and 426 is 89886.