Least Common Multiple of 432 and 435

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 435 the smallest integer that is 62640 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 435 is 62640.

LCM(432,435) = 62640

LCM of 432 and 435

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

LCM of:
and

Least Common Multiple of 432 and 435

LCM of 432 and 435 is 62640

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 435. First we will calculate the prime factors of 432 and 435.

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 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 435.

LCM(432,435) = 24×33×51×291
LCM(432,435) = 62640

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 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Least Common Multiple of 432 and 435 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 435, than apply into the LCM equation.

GCF(432,435) = 3
LCM(432,435) = ( 432 × 435) / 3
LCM(432,435) = 187920 / 3
LCM(432,435) = 62640

Properties of LCM 432 and 435

(i) The LCM of 435 and 432 is associative

LCM of 432 and 435 = LCM of 435 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 435

Frequently Asked Questions on LCM of 432 and 435

1. What is the LCM of 432 and 435?

Answer: LCM of 432 and 435 is 62640.

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 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

4. How to Find the LCM of 432 and 435?

Answer:

Least Common Multiple of 432 and 435 = 62640

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 435

435 = 3 x 5 x 29

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

LCM = 62640 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 432 and 435 is 62640.