Least Common Multiple of 428 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 428 and 432 the smallest integer that is 46224 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 432 is 46224.

LCM(428,432) = 46224

LCM of 428 and 432

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

LCM of:
and

Least Common Multiple of 428 and 432

LCM of 428 and 432 is 46224

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 432. First we will calculate the prime factors of 428 and 432.

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

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 428 and 432.

LCM(428,432) = 24×33×1071
LCM(428,432) = 46224

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 428 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 428 and 432, than apply into the LCM equation.

GCF(428,432) = 4
LCM(428,432) = ( 428 × 432) / 4
LCM(428,432) = 184896 / 4
LCM(428,432) = 46224

Properties of LCM 428 and 432

(i) The LCM of 432 and 428 is associative

LCM of 428 and 432 = LCM of 432 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 428 and 432

1. What is the LCM of 428 and 432?

Answer: LCM of 428 and 432 is 46224.

2. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

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 428 and 432?

Answer:

Least Common Multiple of 428 and 432 = 46224

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

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 = 46224 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 107

Step 4: Therefore, the least common multiple of 428 and 432 is 46224.