Least Common Multiple of 432 and 440

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 440 the smallest integer that is 23760 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 440 is 23760.

LCM(432,440) = 23760

LCM of 432 and 440

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

LCM of:
and

Least Common Multiple of 432 and 440

LCM of 432 and 440 is 23760

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 440. First we will calculate the prime factors of 432 and 440.

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 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 440.

LCM(432,440) = 24×33×51×111
LCM(432,440) = 23760

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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Least Common Multiple of 432 and 440 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 440, than apply into the LCM equation.

GCF(432,440) = 8
LCM(432,440) = ( 432 × 440) / 8
LCM(432,440) = 190080 / 8
LCM(432,440) = 23760

Properties of LCM 432 and 440

(i) The LCM of 440 and 432 is associative

LCM of 432 and 440 = LCM of 440 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 432 and 440

1. What is the LCM of 432 and 440?

Answer: LCM of 432 and 440 is 23760.

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 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

4. How to Find the LCM of 432 and 440?

Answer:

Least Common Multiple of 432 and 440 = 23760

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 440

440 = 2 x 2 x 2 x 5 x 11

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

LCM = 23760 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 432 and 440 is 23760.