Least Common Multiple of 4299 and 4303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4299 and 4303 the smallest integer that is 18498597 that is divisible by both numbers.

Least Common Multiple (LCM) of 4299 and 4303 is 18498597.

LCM(4299,4303) = 18498597

LCM of 4299 and 4303

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

LCM of:
and

Least Common Multiple of 4299 and 4303

LCM of 4299 and 4303 is 18498597

Least common multiple can be found by multiplying the highest exponent prime factors of 4299 and 4303. First we will calculate the prime factors of 4299 and 4303.

Prime Factorization of 4299


3 4299
1433 1433
1

Prime factors of 4299 are 3,1433. Prime factorization of 4299 in exponential form is:

4299 = 31×14331

Prime Factorization of 4303


13 4303
331 331
1

Prime factors of 4303 are 13,331. Prime factorization of 4303 in exponential form is:

4303 = 131×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 4299 and 4303.

LCM(4299,4303) = 31×131×3311×14331
LCM(4299,4303) = 18498597

Factors of 4299

List of positive integer factors of 4299 that divides 4299 without a remainder.

1, 3, 1433, 4299

Factors of 4303

List of positive integer factors of 4303 that divides 4303 without a remainder.

1, 13, 331, 4303

Least Common Multiple of 4299 and 4303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4299 and 4303, than apply into the LCM equation.

GCF(4299,4303) = 1
LCM(4299,4303) = ( 4299 × 4303) / 1
LCM(4299,4303) = 18498597 / 1
LCM(4299,4303) = 18498597

Properties of LCM 4299 and 4303

(i) The LCM of 4303 and 4299 is associative

LCM of 4299 and 4303 = LCM of 4303 and 4299

Related Least Common Multiples of 4299

Related Least Common Multiples of 4303

Frequently Asked Questions on LCM of 4299 and 4303

1. What is the LCM of 4299 and 4303?

Answer: LCM of 4299 and 4303 is 18498597.

2. What are the Factors of 4299?

Answer: Factors of 4299 are 1, 3, 1433, 4299. There are 4 integers that are factors of 4299. The greatest factor of 4299 is 4299.

3. What are the Factors of 4303?

Answer: Factors of 4303 are 1, 13, 331, 4303. There are 4 integers that are factors of 4303. The greatest factor of 4303 is 4303.

4. How to Find the LCM of 4299 and 4303?

Answer:

Least Common Multiple of 4299 and 4303 = 18498597

Step 1: Find the prime factorization of 4299

4299 = 3 x 1433

Step 2: Find the prime factorization of 4303

4303 = 13 x 331

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

LCM = 18498597 = 3 x 13 x 331 x 1433

Step 4: Therefore, the least common multiple of 4299 and 4303 is 18498597.