Least Common Multiple of 431 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 431 and 432 the smallest integer that is 186192 that is divisible by both numbers.

Least Common Multiple (LCM) of 431 and 432 is 186192.

LCM(431,432) = 186192

LCM of 431 and 432

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

LCM of:
and

Least Common Multiple of 431 and 432

LCM of 431 and 432 is 186192

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 432. First we will calculate the prime factors of 431 and 432.

Prime Factorization of 431


431 431
1

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 4311

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 431 and 432.

LCM(431,432) = 24×33×4311
LCM(431,432) = 186192

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1, 431

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 431 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 431 and 432, than apply into the LCM equation.

GCF(431,432) = 1
LCM(431,432) = ( 431 × 432) / 1
LCM(431,432) = 186192 / 1
LCM(431,432) = 186192

Properties of LCM 431 and 432

(i) The LCM of 432 and 431 is associative

LCM of 431 and 432 = LCM of 432 and 431

Related Least Common Multiples of 431

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 431 and 432

1. What is the LCM of 431 and 432?

Answer: LCM of 431 and 432 is 186192.

2. What are the Factors of 431?

Answer: Factors of 431 are 1, 431. There are 2 integers that are factors of 431. The greatest factor of 431 is 431.

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 431 and 432?

Answer:

Least Common Multiple of 431 and 432 = 186192

Step 1: Find the prime factorization of 431

431 = 431

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 = 186192 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 431

Step 4: Therefore, the least common multiple of 431 and 432 is 186192.