Least Common Multiple of 424 and 432

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 432 the smallest integer that is 22896 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 432 is 22896.

LCM(424,432) = 22896

LCM of 424 and 432

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

LCM of:
and

Least Common Multiple of 424 and 432

LCM of 424 and 432 is 22896

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 432. First we will calculate the prime factors of 424 and 432.

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 432


2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 432 are 2,3. Prime factorization of 432 in exponential form is:

432 = 24×33

Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 432.

LCM(424,432) = 24×33×531
LCM(424,432) = 22896

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 432

List of positive integer factors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Least Common Multiple of 424 and 432 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 432, than apply into the LCM equation.

GCF(424,432) = 8
LCM(424,432) = ( 424 × 432) / 8
LCM(424,432) = 183168 / 8
LCM(424,432) = 22896

Properties of LCM 424 and 432

(i) The LCM of 432 and 424 is associative

LCM of 424 and 432 = LCM of 432 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 424 and 432

1. What is the LCM of 424 and 432?

Answer: LCM of 424 and 432 is 22896.

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 432?

Answer: Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. There are 20 integers that are factors of 432. The greatest factor of 432 is 432.

4. How to Find the LCM of 424 and 432?

Answer:

Least Common Multiple of 424 and 432 = 22896

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 432

432 = 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 22896 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53

Step 4: Therefore, the least common multiple of 424 and 432 is 22896.