Least Common Multiple of 424 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 424 and 428 the smallest integer that is 45368 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 428 is 45368.

LCM(424,428) = 45368

LCM of 424 and 428

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

LCM of:
and

Least Common Multiple of 424 and 428

LCM of 424 and 428 is 45368

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 428. First we will calculate the prime factors of 424 and 428.

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

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 424 and 428.

LCM(424,428) = 23×531×1071
LCM(424,428) = 45368

Factors of 424

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

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

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 424 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 424 and 428, than apply into the LCM equation.

GCF(424,428) = 4
LCM(424,428) = ( 424 × 428) / 4
LCM(424,428) = 181472 / 4
LCM(424,428) = 45368

Properties of LCM 424 and 428

(i) The LCM of 428 and 424 is associative

LCM of 424 and 428 = LCM of 428 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 428

Frequently Asked Questions on LCM of 424 and 428

1. What is the LCM of 424 and 428?

Answer: LCM of 424 and 428 is 45368.

2. 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.

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 424 and 428?

Answer:

Least Common Multiple of 424 and 428 = 45368

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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 = 45368 = 2 x 2 x 2 x 53 x 107

Step 4: Therefore, the least common multiple of 424 and 428 is 45368.