Least Common Multiple of 432 and 437

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 437 the smallest integer that is 188784 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 437 is 188784.

LCM(432,437) = 188784

LCM of 432 and 437

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

LCM of:
and

Least Common Multiple of 432 and 437

LCM of 432 and 437 is 188784

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 437. First we will calculate the prime factors of 432 and 437.

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 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 437.

LCM(432,437) = 24×33×191×231
LCM(432,437) = 188784

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 437

List of positive integer factors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Least Common Multiple of 432 and 437 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 437, than apply into the LCM equation.

GCF(432,437) = 1
LCM(432,437) = ( 432 × 437) / 1
LCM(432,437) = 188784 / 1
LCM(432,437) = 188784

Properties of LCM 432 and 437

(i) The LCM of 437 and 432 is associative

LCM of 432 and 437 = LCM of 437 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 437

Frequently Asked Questions on LCM of 432 and 437

1. What is the LCM of 432 and 437?

Answer: LCM of 432 and 437 is 188784.

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 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

4. How to Find the LCM of 432 and 437?

Answer:

Least Common Multiple of 432 and 437 = 188784

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 437

437 = 19 x 23

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

LCM = 188784 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 23

Step 4: Therefore, the least common multiple of 432 and 437 is 188784.