Least Common Multiple of 423 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 423 and 424 the smallest integer that is 179352 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 424 is 179352.

LCM(423,424) = 179352

LCM of 423 and 424

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

LCM of:
and

Least Common Multiple of 423 and 424

LCM of 423 and 424 is 179352

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 424. First we will calculate the prime factors of 423 and 424.

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

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 423 and 424.

LCM(423,424) = 23×32×471×531
LCM(423,424) = 179352

Factors of 423

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

1, 3, 9, 47, 141, 423

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 423 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 423 and 424, than apply into the LCM equation.

GCF(423,424) = 1
LCM(423,424) = ( 423 × 424) / 1
LCM(423,424) = 179352 / 1
LCM(423,424) = 179352

Properties of LCM 423 and 424

(i) The LCM of 424 and 423 is associative

LCM of 423 and 424 = LCM of 424 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 424

Frequently Asked Questions on LCM of 423 and 424

1. What is the LCM of 423 and 424?

Answer: LCM of 423 and 424 is 179352.

2. 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.

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 423 and 424?

Answer:

Least Common Multiple of 423 and 424 = 179352

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 179352 = 2 x 2 x 2 x 3 x 3 x 47 x 53

Step 4: Therefore, the least common multiple of 423 and 424 is 179352.