Least Common Multiple of 432 and 433

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 433 the smallest integer that is 187056 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 433 is 187056.

LCM(432,433) = 187056

LCM of 432 and 433

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

LCM of:
and

Least Common Multiple of 432 and 433

LCM of 432 and 433 is 187056

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 433. First we will calculate the prime factors of 432 and 433.

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 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 433.

LCM(432,433) = 24×33×4331
LCM(432,433) = 187056

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 433

List of positive integer factors of 433 that divides 433 without a remainder.

1, 433

Least Common Multiple of 432 and 433 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 433, than apply into the LCM equation.

GCF(432,433) = 1
LCM(432,433) = ( 432 × 433) / 1
LCM(432,433) = 187056 / 1
LCM(432,433) = 187056

Properties of LCM 432 and 433

(i) The LCM of 433 and 432 is associative

LCM of 432 and 433 = LCM of 433 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 433

Frequently Asked Questions on LCM of 432 and 433

1. What is the LCM of 432 and 433?

Answer: LCM of 432 and 433 is 187056.

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 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

4. How to Find the LCM of 432 and 433?

Answer:

Least Common Multiple of 432 and 433 = 187056

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 433

433 = 433

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

LCM = 187056 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 433

Step 4: Therefore, the least common multiple of 432 and 433 is 187056.