Least Common Multiple of 4327 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 4327 and 4333 the smallest integer that is 18748891 that is divisible by both numbers.

Least Common Multiple (LCM) of 4327 and 4333 is 18748891.

LCM(4327,4333) = 18748891

LCM of 4327 and 4333

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

LCM of:
and

Least Common Multiple of 4327 and 4333

LCM of 4327 and 4333 is 18748891

Least common multiple can be found by multiplying the highest exponent prime factors of 4327 and 4333. First we will calculate the prime factors of 4327 and 4333.

Prime Factorization of 4327


4327 4327
1

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

4327 = 43271

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 4327 and 4333.

LCM(4327,4333) = 71×6191×43271
LCM(4327,4333) = 18748891

Factors of 4327

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

1, 4327

Factors of 4333

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

1, 7, 619, 4333

Least Common Multiple of 4327 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 4327 and 4333, than apply into the LCM equation.

GCF(4327,4333) = 1
LCM(4327,4333) = ( 4327 × 4333) / 1
LCM(4327,4333) = 18748891 / 1
LCM(4327,4333) = 18748891

Properties of LCM 4327 and 4333

(i) The LCM of 4333 and 4327 is associative

LCM of 4327 and 4333 = LCM of 4333 and 4327

Related Least Common Multiples of 4327

Related Least Common Multiples of 4333

Frequently Asked Questions on LCM of 4327 and 4333

1. What is the LCM of 4327 and 4333?

Answer: LCM of 4327 and 4333 is 18748891.

2. 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.

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 4327 and 4333?

Answer:

Least Common Multiple of 4327 and 4333 = 18748891

Step 1: Find the prime factorization of 4327

4327 = 4327

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 = 18748891 = 7 x 619 x 4327

Step 4: Therefore, the least common multiple of 4327 and 4333 is 18748891.