Least Common Multiple of 423 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 423 and 428 the smallest integer that is 181044 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 428 is 181044.

LCM(423,428) = 181044

LCM of 423 and 428

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

LCM of:
and

Least Common Multiple of 423 and 428

LCM of 423 and 428 is 181044

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 428. First we will calculate the prime factors of 423 and 428.

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 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 423 and 428.

LCM(423,428) = 22×32×471×1071
LCM(423,428) = 181044

Factors of 423

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

1, 3, 9, 47, 141, 423

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 423 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 423 and 428, than apply into the LCM equation.

GCF(423,428) = 1
LCM(423,428) = ( 423 × 428) / 1
LCM(423,428) = 181044 / 1
LCM(423,428) = 181044

Properties of LCM 423 and 428

(i) The LCM of 428 and 423 is associative

LCM of 423 and 428 = LCM of 428 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 428

Frequently Asked Questions on LCM of 423 and 428

1. What is the LCM of 423 and 428?

Answer: LCM of 423 and 428 is 181044.

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 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 423 and 428?

Answer:

Least Common Multiple of 423 and 428 = 181044

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 181044 = 2 x 2 x 3 x 3 x 47 x 107

Step 4: Therefore, the least common multiple of 423 and 428 is 181044.