Least Common Multiple of 4320 and 4328

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 4328 the smallest integer that is 2337120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4320 and 4328 is 2337120.

LCM(4320,4328) = 2337120

LCM of 4320 and 4328

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

LCM of:
and

Least Common Multiple of 4320 and 4328

LCM of 4320 and 4328 is 2337120

Least common multiple can be found by multiplying the highest exponent prime factors of 4320 and 4328. First we will calculate the prime factors of 4320 and 4328.

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 4328


2 4328
2 2164
2 1082
541 541
1

Prime factors of 4328 are 2,541. Prime factorization of 4328 in exponential form is:

4328 = 23×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 4320 and 4328.

LCM(4320,4328) = 25×33×51×5411
LCM(4320,4328) = 2337120

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 4328

List of positive integer factors of 4328 that divides 4328 without a remainder.

1, 2, 4, 8, 541, 1082, 2164, 4328

Least Common Multiple of 4320 and 4328 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 4328, than apply into the LCM equation.

GCF(4320,4328) = 8
LCM(4320,4328) = ( 4320 × 4328) / 8
LCM(4320,4328) = 18696960 / 8
LCM(4320,4328) = 2337120

Properties of LCM 4320 and 4328

(i) The LCM of 4328 and 4320 is associative

LCM of 4320 and 4328 = LCM of 4328 and 4320

Related Least Common Multiples of 4320

Related Least Common Multiples of 4328

Frequently Asked Questions on LCM of 4320 and 4328

1. What is the LCM of 4320 and 4328?

Answer: LCM of 4320 and 4328 is 2337120.

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 4328?

Answer: Factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328. There are 8 integers that are factors of 4328. The greatest factor of 4328 is 4328.

4. How to Find the LCM of 4320 and 4328?

Answer:

Least Common Multiple of 4320 and 4328 = 2337120

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 4328

4328 = 2 x 2 x 2 x 541

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

LCM = 2337120 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 541

Step 4: Therefore, the least common multiple of 4320 and 4328 is 2337120.