Least Common Multiple of 4353 and 4359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4353 and 4359 the smallest integer that is 6324909 that is divisible by both numbers.

Least Common Multiple (LCM) of 4353 and 4359 is 6324909.

LCM(4353,4359) = 6324909

LCM of 4353 and 4359

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

LCM of:
and

Least Common Multiple of 4353 and 4359

LCM of 4353 and 4359 is 6324909

Least common multiple can be found by multiplying the highest exponent prime factors of 4353 and 4359. First we will calculate the prime factors of 4353 and 4359.

Prime Factorization of 4353


3 4353
1451 1451
1

Prime factors of 4353 are 3,1451. Prime factorization of 4353 in exponential form is:

4353 = 31×14511

Prime Factorization of 4359


3 4359
1453 1453
1

Prime factors of 4359 are 3,1453. Prime factorization of 4359 in exponential form is:

4359 = 31×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 4353 and 4359.

LCM(4353,4359) = 31×14511×14531
LCM(4353,4359) = 6324909

Factors of 4353

List of positive integer factors of 4353 that divides 4353 without a remainder.

1, 3, 1451, 4353

Factors of 4359

List of positive integer factors of 4359 that divides 4359 without a remainder.

1, 3, 1453, 4359

Least Common Multiple of 4353 and 4359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4353 and 4359, than apply into the LCM equation.

GCF(4353,4359) = 3
LCM(4353,4359) = ( 4353 × 4359) / 3
LCM(4353,4359) = 18974727 / 3
LCM(4353,4359) = 6324909

Properties of LCM 4353 and 4359

(i) The LCM of 4359 and 4353 is associative

LCM of 4353 and 4359 = LCM of 4359 and 4353

Related Least Common Multiples of 4353

Related Least Common Multiples of 4359

Frequently Asked Questions on LCM of 4353 and 4359

1. What is the LCM of 4353 and 4359?

Answer: LCM of 4353 and 4359 is 6324909.

2. What are the Factors of 4353?

Answer: Factors of 4353 are 1, 3, 1451, 4353. There are 4 integers that are factors of 4353. The greatest factor of 4353 is 4353.

3. What are the Factors of 4359?

Answer: Factors of 4359 are 1, 3, 1453, 4359. There are 4 integers that are factors of 4359. The greatest factor of 4359 is 4359.

4. How to Find the LCM of 4353 and 4359?

Answer:

Least Common Multiple of 4353 and 4359 = 6324909

Step 1: Find the prime factorization of 4353

4353 = 3 x 1451

Step 2: Find the prime factorization of 4359

4359 = 3 x 1453

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

LCM = 6324909 = 3 x 1451 x 1453

Step 4: Therefore, the least common multiple of 4353 and 4359 is 6324909.