Least Common Multiple of 4353 and 4358

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 4358 the smallest integer that is 18970374 that is divisible by both numbers.

Least Common Multiple (LCM) of 4353 and 4358 is 18970374.

LCM(4353,4358) = 18970374

LCM of 4353 and 4358

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

LCM of:
and

Least Common Multiple of 4353 and 4358

LCM of 4353 and 4358 is 18970374

Least common multiple can be found by multiplying the highest exponent prime factors of 4353 and 4358. First we will calculate the prime factors of 4353 and 4358.

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 4358


2 4358
2179 2179
1

Prime factors of 4358 are 2,2179. Prime factorization of 4358 in exponential form is:

4358 = 21×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 4353 and 4358.

LCM(4353,4358) = 21×31×14511×21791
LCM(4353,4358) = 18970374

Factors of 4353

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

1, 3, 1451, 4353

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1, 2, 2179, 4358

Least Common Multiple of 4353 and 4358 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 4358, than apply into the LCM equation.

GCF(4353,4358) = 1
LCM(4353,4358) = ( 4353 × 4358) / 1
LCM(4353,4358) = 18970374 / 1
LCM(4353,4358) = 18970374

Properties of LCM 4353 and 4358

(i) The LCM of 4358 and 4353 is associative

LCM of 4353 and 4358 = LCM of 4358 and 4353

Related Least Common Multiples of 4353

Related Least Common Multiples of 4358

Frequently Asked Questions on LCM of 4353 and 4358

1. What is the LCM of 4353 and 4358?

Answer: LCM of 4353 and 4358 is 18970374.

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 4358?

Answer: Factors of 4358 are 1, 2, 2179, 4358. There are 4 integers that are factors of 4358. The greatest factor of 4358 is 4358.

4. How to Find the LCM of 4353 and 4358?

Answer:

Least Common Multiple of 4353 and 4358 = 18970374

Step 1: Find the prime factorization of 4353

4353 = 3 x 1451

Step 2: Find the prime factorization of 4358

4358 = 2 x 2179

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

LCM = 18970374 = 2 x 3 x 1451 x 2179

Step 4: Therefore, the least common multiple of 4353 and 4358 is 18970374.