Least Common Multiple of 432 and 439

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 439 the smallest integer that is 189648 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 439 is 189648.

LCM(432,439) = 189648

LCM of 432 and 439

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

LCM of:
and

Least Common Multiple of 432 and 439

LCM of 432 and 439 is 189648

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 439. First we will calculate the prime factors of 432 and 439.

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 439


439 439
1

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 439.

LCM(432,439) = 24×33×4391
LCM(432,439) = 189648

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 439

List of positive integer factors of 439 that divides 439 without a remainder.

1, 439

Least Common Multiple of 432 and 439 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 439, than apply into the LCM equation.

GCF(432,439) = 1
LCM(432,439) = ( 432 × 439) / 1
LCM(432,439) = 189648 / 1
LCM(432,439) = 189648

Properties of LCM 432 and 439

(i) The LCM of 439 and 432 is associative

LCM of 432 and 439 = LCM of 439 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 439

Frequently Asked Questions on LCM of 432 and 439

1. What is the LCM of 432 and 439?

Answer: LCM of 432 and 439 is 189648.

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 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

4. How to Find the LCM of 432 and 439?

Answer:

Least Common Multiple of 432 and 439 = 189648

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 439

439 = 439

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

LCM = 189648 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 439

Step 4: Therefore, the least common multiple of 432 and 439 is 189648.