Least Common Multiple of 3299 and 3303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3299 and 3303 the smallest integer that is 10896597 that is divisible by both numbers.

Least Common Multiple (LCM) of 3299 and 3303 is 10896597.

LCM(3299,3303) = 10896597

LCM of 3299 and 3303

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

LCM of:
and

Least Common Multiple of 3299 and 3303

LCM of 3299 and 3303 is 10896597

Least common multiple can be found by multiplying the highest exponent prime factors of 3299 and 3303. First we will calculate the prime factors of 3299 and 3303.

Prime Factorization of 3299


3299 3299
1

Prime factors of 3299 are 3299. Prime factorization of 3299 in exponential form is:

3299 = 32991

Prime Factorization of 3303


3 3303
3 1101
367 367
1

Prime factors of 3303 are 3,367. Prime factorization of 3303 in exponential form is:

3303 = 32×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 3299 and 3303.

LCM(3299,3303) = 32×3671×32991
LCM(3299,3303) = 10896597

Factors of 3299

List of positive integer factors of 3299 that divides 3299 without a remainder.

1, 3299

Factors of 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1, 3, 9, 367, 1101, 3303

Least Common Multiple of 3299 and 3303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3299 and 3303, than apply into the LCM equation.

GCF(3299,3303) = 1
LCM(3299,3303) = ( 3299 × 3303) / 1
LCM(3299,3303) = 10896597 / 1
LCM(3299,3303) = 10896597

Properties of LCM 3299 and 3303

(i) The LCM of 3303 and 3299 is associative

LCM of 3299 and 3303 = LCM of 3303 and 3299

Related Least Common Multiples of 3299

Related Least Common Multiples of 3303

Frequently Asked Questions on LCM of 3299 and 3303

1. What is the LCM of 3299 and 3303?

Answer: LCM of 3299 and 3303 is 10896597.

2. What are the Factors of 3299?

Answer: Factors of 3299 are 1, 3299. There are 2 integers that are factors of 3299. The greatest factor of 3299 is 3299.

3. What are the Factors of 3303?

Answer: Factors of 3303 are 1, 3, 9, 367, 1101, 3303. There are 6 integers that are factors of 3303. The greatest factor of 3303 is 3303.

4. How to Find the LCM of 3299 and 3303?

Answer:

Least Common Multiple of 3299 and 3303 = 10896597

Step 1: Find the prime factorization of 3299

3299 = 3299

Step 2: Find the prime factorization of 3303

3303 = 3 x 3 x 367

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

LCM = 10896597 = 3 x 3 x 367 x 3299

Step 4: Therefore, the least common multiple of 3299 and 3303 is 10896597.