Least Common Multiple of 426 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 426 and 432 the smallest integer that is 30672 that is divisible by both numbers.

Least Common Multiple (LCM) of 426 and 432 is 30672.

LCM(426,432) = 30672

LCM of 426 and 432

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

LCM of:
and

Least Common Multiple of 426 and 432

LCM of 426 and 432 is 30672

Least common multiple can be found by multiplying the highest exponent prime factors of 426 and 432. First we will calculate the prime factors of 426 and 432.

Prime Factorization of 426


2 426
3 213
71 71
1

Prime factors of 426 are 2, 3,71. Prime factorization of 426 in exponential form is:

426 = 21×31×711

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 426 and 432.

LCM(426,432) = 24×33×711
LCM(426,432) = 30672

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 426 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 426 and 432, than apply into the LCM equation.

GCF(426,432) = 6
LCM(426,432) = ( 426 × 432) / 6
LCM(426,432) = 184032 / 6
LCM(426,432) = 30672

Properties of LCM 426 and 432

(i) The LCM of 432 and 426 is associative

LCM of 426 and 432 = LCM of 432 and 426

Related Least Common Multiples of 426

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 426 and 432

1. What is the LCM of 426 and 432?

Answer: LCM of 426 and 432 is 30672.

2. What are the Factors of 426?

Answer: Factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. There are 8 integers that are factors of 426. The greatest factor of 426 is 426.

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 426 and 432?

Answer:

Least Common Multiple of 426 and 432 = 30672

Step 1: Find the prime factorization of 426

426 = 2 x 3 x 71

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 = 30672 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 71

Step 4: Therefore, the least common multiple of 426 and 432 is 30672.