Least Common Multiple of 432 and 438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 432 and 438 the smallest integer that is 31536 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 438 is 31536.

LCM(432,438) = 31536

LCM of 432 and 438

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

LCM of:
and

Least Common Multiple of 432 and 438

LCM of 432 and 438 is 31536

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 438. First we will calculate the prime factors of 432 and 438.

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

Prime Factorization of 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 438.

LCM(432,438) = 24×33×731
LCM(432,438) = 31536

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

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Least Common Multiple of 432 and 438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 432 and 438, than apply into the LCM equation.

GCF(432,438) = 6
LCM(432,438) = ( 432 × 438) / 6
LCM(432,438) = 189216 / 6
LCM(432,438) = 31536

Properties of LCM 432 and 438

(i) The LCM of 438 and 432 is associative

LCM of 432 and 438 = LCM of 438 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 432 and 438

1. What is the LCM of 432 and 438?

Answer: LCM of 432 and 438 is 31536.

2. 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.

3. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

4. How to Find the LCM of 432 and 438?

Answer:

Least Common Multiple of 432 and 438 = 31536

Step 1: Find the prime factorization of 432

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

Step 2: Find the prime factorization of 438

438 = 2 x 3 x 73

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

LCM = 31536 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73

Step 4: Therefore, the least common multiple of 432 and 438 is 31536.