Least Common Multiple of 432 and 434

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 434 the smallest integer that is 93744 that is divisible by both numbers.

Least Common Multiple (LCM) of 432 and 434 is 93744.

LCM(432,434) = 93744

LCM of 432 and 434

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

LCM of:
and

Least Common Multiple of 432 and 434

LCM of 432 and 434 is 93744

Least common multiple can be found by multiplying the highest exponent prime factors of 432 and 434. First we will calculate the prime factors of 432 and 434.

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 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 432 and 434.

LCM(432,434) = 24×33×71×311
LCM(432,434) = 93744

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 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Least Common Multiple of 432 and 434 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 434, than apply into the LCM equation.

GCF(432,434) = 2
LCM(432,434) = ( 432 × 434) / 2
LCM(432,434) = 187488 / 2
LCM(432,434) = 93744

Properties of LCM 432 and 434

(i) The LCM of 434 and 432 is associative

LCM of 432 and 434 = LCM of 434 and 432

Related Least Common Multiples of 432

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 432 and 434

1. What is the LCM of 432 and 434?

Answer: LCM of 432 and 434 is 93744.

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 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. How to Find the LCM of 432 and 434?

Answer:

Least Common Multiple of 432 and 434 = 93744

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 434

434 = 2 x 7 x 31

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

LCM = 93744 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 432 and 434 is 93744.