Least Common Multiple of 4320 and 4327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4320 and 4327 the smallest integer that is 18692640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4320 and 4327 is 18692640.

LCM(4320,4327) = 18692640

LCM of 4320 and 4327

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

LCM of:
and

Least Common Multiple of 4320 and 4327

LCM of 4320 and 4327 is 18692640

Least common multiple can be found by multiplying the highest exponent prime factors of 4320 and 4327. First we will calculate the prime factors of 4320 and 4327.

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2, 3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Prime Factorization of 4327


4327 4327
1

Prime factors of 4327 are 4327. Prime factorization of 4327 in exponential form is:

4327 = 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 4320 and 4327.

LCM(4320,4327) = 25×33×51×43271
LCM(4320,4327) = 18692640

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320

Factors of 4327

List of positive integer factors of 4327 that divides 4327 without a remainder.

1, 4327

Least Common Multiple of 4320 and 4327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4320 and 4327, than apply into the LCM equation.

GCF(4320,4327) = 1
LCM(4320,4327) = ( 4320 × 4327) / 1
LCM(4320,4327) = 18692640 / 1
LCM(4320,4327) = 18692640

Properties of LCM 4320 and 4327

(i) The LCM of 4327 and 4320 is associative

LCM of 4320 and 4327 = LCM of 4327 and 4320

Related Least Common Multiples of 4320

Related Least Common Multiples of 4327

Frequently Asked Questions on LCM of 4320 and 4327

1. What is the LCM of 4320 and 4327?

Answer: LCM of 4320 and 4327 is 18692640.

2. What are the Factors of 4320?

Answer: Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

3. What are the Factors of 4327?

Answer: Factors of 4327 are 1, 4327. There are 2 integers that are factors of 4327. The greatest factor of 4327 is 4327.

4. How to Find the LCM of 4320 and 4327?

Answer:

Least Common Multiple of 4320 and 4327 = 18692640

Step 1: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4327

4327 = 4327

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

LCM = 18692640 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 4327

Step 4: Therefore, the least common multiple of 4320 and 4327 is 18692640.