Least Common Multiple of 4353 and 4361

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 4361 the smallest integer that is 18983433 that is divisible by both numbers.

Least Common Multiple (LCM) of 4353 and 4361 is 18983433.

LCM(4353,4361) = 18983433

LCM of 4353 and 4361

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

LCM of:
and

Least Common Multiple of 4353 and 4361

LCM of 4353 and 4361 is 18983433

Least common multiple can be found by multiplying the highest exponent prime factors of 4353 and 4361. First we will calculate the prime factors of 4353 and 4361.

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 4361


7 4361
7 623
89 89
1

Prime factors of 4361 are 7,89. Prime factorization of 4361 in exponential form is:

4361 = 72×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4353 and 4361.

LCM(4353,4361) = 31×72×891×14511
LCM(4353,4361) = 18983433

Factors of 4353

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

1, 3, 1451, 4353

Factors of 4361

List of positive integer factors of 4361 that divides 4361 without a remainder.

1, 7, 49, 89, 623, 4361

Least Common Multiple of 4353 and 4361 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 4361, than apply into the LCM equation.

GCF(4353,4361) = 1
LCM(4353,4361) = ( 4353 × 4361) / 1
LCM(4353,4361) = 18983433 / 1
LCM(4353,4361) = 18983433

Properties of LCM 4353 and 4361

(i) The LCM of 4361 and 4353 is associative

LCM of 4353 and 4361 = LCM of 4361 and 4353

Related Least Common Multiples of 4353

Related Least Common Multiples of 4361

Frequently Asked Questions on LCM of 4353 and 4361

1. What is the LCM of 4353 and 4361?

Answer: LCM of 4353 and 4361 is 18983433.

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 4361?

Answer: Factors of 4361 are 1, 7, 49, 89, 623, 4361. There are 6 integers that are factors of 4361. The greatest factor of 4361 is 4361.

4. How to Find the LCM of 4353 and 4361?

Answer:

Least Common Multiple of 4353 and 4361 = 18983433

Step 1: Find the prime factorization of 4353

4353 = 3 x 1451

Step 2: Find the prime factorization of 4361

4361 = 7 x 7 x 89

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

LCM = 18983433 = 3 x 7 x 7 x 89 x 1451

Step 4: Therefore, the least common multiple of 4353 and 4361 is 18983433.