Least Common Multiple of 4328 and 4333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4328 and 4333 the smallest integer that is 18753224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4328 and 4333 is 18753224.

LCM(4328,4333) = 18753224

LCM of 4328 and 4333

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

LCM of:
and

Least Common Multiple of 4328 and 4333

LCM of 4328 and 4333 is 18753224

Least common multiple can be found by multiplying the highest exponent prime factors of 4328 and 4333. First we will calculate the prime factors of 4328 and 4333.

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

Prime Factorization of 4333


7 4333
619 619
1

Prime factors of 4333 are 7,619. Prime factorization of 4333 in exponential form is:

4333 = 71×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4333.

LCM(4328,4333) = 23×71×5411×6191
LCM(4328,4333) = 18753224

Factors of 4328

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

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

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1, 7, 619, 4333

Least Common Multiple of 4328 and 4333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4328 and 4333, than apply into the LCM equation.

GCF(4328,4333) = 1
LCM(4328,4333) = ( 4328 × 4333) / 1
LCM(4328,4333) = 18753224 / 1
LCM(4328,4333) = 18753224

Properties of LCM 4328 and 4333

(i) The LCM of 4333 and 4328 is associative

LCM of 4328 and 4333 = LCM of 4333 and 4328

Frequently Asked Questions on LCM of 4328 and 4333

1. What is the LCM of 4328 and 4333?

Answer: LCM of 4328 and 4333 is 18753224.

2. 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.

3. What are the Factors of 4333?

Answer: Factors of 4333 are 1, 7, 619, 4333. There are 4 integers that are factors of 4333. The greatest factor of 4333 is 4333.

4. How to Find the LCM of 4328 and 4333?

Answer:

Least Common Multiple of 4328 and 4333 = 18753224

Step 1: Find the prime factorization of 4328

4328 = 2 x 2 x 2 x 541

Step 2: Find the prime factorization of 4333

4333 = 7 x 619

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

LCM = 18753224 = 2 x 2 x 2 x 7 x 541 x 619

Step 4: Therefore, the least common multiple of 4328 and 4333 is 18753224.