Least Common Multiple of 427 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 427 and 432 the smallest integer that is 184464 that is divisible by both numbers.

Least Common Multiple (LCM) of 427 and 432 is 184464.

LCM(427,432) = 184464

LCM of 427 and 432

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

LCM of:
and

Least Common Multiple of 427 and 432

LCM of 427 and 432 is 184464

Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 432. First we will calculate the prime factors of 427 and 432.

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

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 427 and 432.

LCM(427,432) = 24×33×71×611
LCM(427,432) = 184464

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 427 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 427 and 432, than apply into the LCM equation.

GCF(427,432) = 1
LCM(427,432) = ( 427 × 432) / 1
LCM(427,432) = 184464 / 1
LCM(427,432) = 184464

Properties of LCM 427 and 432

(i) The LCM of 432 and 427 is associative

LCM of 427 and 432 = LCM of 432 and 427

Related Least Common Multiples of 427

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 427 and 432

1. What is the LCM of 427 and 432?

Answer: LCM of 427 and 432 is 184464.

2. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

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 427 and 432?

Answer:

Least Common Multiple of 427 and 432 = 184464

Step 1: Find the prime factorization of 427

427 = 7 x 61

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 = 184464 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 61

Step 4: Therefore, the least common multiple of 427 and 432 is 184464.