Least Common Multiple of 422 and 423

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 423 the smallest integer that is 178506 that is divisible by both numbers.

Least Common Multiple (LCM) of 422 and 423 is 178506.

LCM(422,423) = 178506

LCM of 422 and 423

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

LCM of:
and

Least Common Multiple of 422 and 423

LCM of 422 and 423 is 178506

Least common multiple can be found by multiplying the highest exponent prime factors of 422 and 423. First we will calculate the prime factors of 422 and 423.

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 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 422 and 423.

LCM(422,423) = 21×32×471×2111
LCM(422,423) = 178506

Factors of 422

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

1, 2, 211, 422

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Least Common Multiple of 422 and 423 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 423, than apply into the LCM equation.

GCF(422,423) = 1
LCM(422,423) = ( 422 × 423) / 1
LCM(422,423) = 178506 / 1
LCM(422,423) = 178506

Properties of LCM 422 and 423

(i) The LCM of 423 and 422 is associative

LCM of 422 and 423 = LCM of 423 and 422

Related Least Common Multiples of 422

Related Least Common Multiples of 423

Frequently Asked Questions on LCM of 422 and 423

1. What is the LCM of 422 and 423?

Answer: LCM of 422 and 423 is 178506.

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 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

4. How to Find the LCM of 422 and 423?

Answer:

Least Common Multiple of 422 and 423 = 178506

Step 1: Find the prime factorization of 422

422 = 2 x 211

Step 2: Find the prime factorization of 423

423 = 3 x 3 x 47

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

LCM = 178506 = 2 x 3 x 3 x 47 x 211

Step 4: Therefore, the least common multiple of 422 and 423 is 178506.