Least Common Multiple of 4350 and 4353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4350 and 4353 the smallest integer that is 6311850 that is divisible by both numbers.

Least Common Multiple (LCM) of 4350 and 4353 is 6311850.

LCM(4350,4353) = 6311850

LCM of 4350 and 4353

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

LCM of:
and

Least Common Multiple of 4350 and 4353

LCM of 4350 and 4353 is 6311850

Least common multiple can be found by multiplying the highest exponent prime factors of 4350 and 4353. First we will calculate the prime factors of 4350 and 4353.

Prime Factorization of 4350


2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 4350 are 2, 3, 5,29. Prime factorization of 4350 in exponential form is:

4350 = 21×31×52×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4350 and 4353.

LCM(4350,4353) = 21×31×52×291×14511
LCM(4350,4353) = 6311850

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350

Factors of 4353

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

1, 3, 1451, 4353

Least Common Multiple of 4350 and 4353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4350 and 4353, than apply into the LCM equation.

GCF(4350,4353) = 3
LCM(4350,4353) = ( 4350 × 4353) / 3
LCM(4350,4353) = 18935550 / 3
LCM(4350,4353) = 6311850

Properties of LCM 4350 and 4353

(i) The LCM of 4353 and 4350 is associative

LCM of 4350 and 4353 = LCM of 4353 and 4350

Related Least Common Multiples of 4350

Related Least Common Multiples of 4353

Frequently Asked Questions on LCM of 4350 and 4353

1. What is the LCM of 4350 and 4353?

Answer: LCM of 4350 and 4353 is 6311850.

2. What are the Factors of 4350?

Answer: Factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350. There are 24 integers that are factors of 4350. The greatest factor of 4350 is 4350.

3. 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.

4. How to Find the LCM of 4350 and 4353?

Answer:

Least Common Multiple of 4350 and 4353 = 6311850

Step 1: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 4353

4353 = 3 x 1451

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

LCM = 6311850 = 2 x 3 x 5 x 5 x 29 x 1451

Step 4: Therefore, the least common multiple of 4350 and 4353 is 6311850.