Least Common Multiple of 425 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 425 and 432 the smallest integer that is 183600 that is divisible by both numbers.

Least Common Multiple (LCM) of 425 and 432 is 183600.

LCM(425,432) = 183600

LCM of 425 and 432

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

LCM of:
and

Least Common Multiple of 425 and 432

LCM of 425 and 432 is 183600

Least common multiple can be found by multiplying the highest exponent prime factors of 425 and 432. First we will calculate the prime factors of 425 and 432.

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

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 425 and 432.

LCM(425,432) = 24×33×52×171
LCM(425,432) = 183600

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

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 425 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 425 and 432, than apply into the LCM equation.

GCF(425,432) = 1
LCM(425,432) = ( 425 × 432) / 1
LCM(425,432) = 183600 / 1
LCM(425,432) = 183600

Properties of LCM 425 and 432

(i) The LCM of 432 and 425 is associative

LCM of 425 and 432 = LCM of 432 and 425

Related Least Common Multiples of 425

Related Least Common Multiples of 432

Frequently Asked Questions on LCM of 425 and 432

1. What is the LCM of 425 and 432?

Answer: LCM of 425 and 432 is 183600.

2. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

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 425 and 432?

Answer:

Least Common Multiple of 425 and 432 = 183600

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

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 = 183600 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 17

Step 4: Therefore, the least common multiple of 425 and 432 is 183600.