Least Common Multiple of 3299 and 3304

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 3304 the smallest integer that is 10899896 that is divisible by both numbers.

Least Common Multiple (LCM) of 3299 and 3304 is 10899896.

LCM(3299,3304) = 10899896

LCM of 3299 and 3304

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

LCM of:
and

Least Common Multiple of 3299 and 3304

LCM of 3299 and 3304 is 10899896

Least common multiple can be found by multiplying the highest exponent prime factors of 3299 and 3304. First we will calculate the prime factors of 3299 and 3304.

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 3304


2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 3304 are 2, 7,59. Prime factorization of 3304 in exponential form is:

3304 = 23×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3299 and 3304.

LCM(3299,3304) = 23×71×591×32991
LCM(3299,3304) = 10899896

Factors of 3299

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

1, 3299

Factors of 3304

List of positive integer factors of 3304 that divides 3304 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

Least Common Multiple of 3299 and 3304 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 3304, than apply into the LCM equation.

GCF(3299,3304) = 1
LCM(3299,3304) = ( 3299 × 3304) / 1
LCM(3299,3304) = 10899896 / 1
LCM(3299,3304) = 10899896

Properties of LCM 3299 and 3304

(i) The LCM of 3304 and 3299 is associative

LCM of 3299 and 3304 = LCM of 3304 and 3299

Related Least Common Multiples of 3299

Related Least Common Multiples of 3304

Frequently Asked Questions on LCM of 3299 and 3304

1. What is the LCM of 3299 and 3304?

Answer: LCM of 3299 and 3304 is 10899896.

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 3304?

Answer: Factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. There are 16 integers that are factors of 3304. The greatest factor of 3304 is 3304.

4. How to Find the LCM of 3299 and 3304?

Answer:

Least Common Multiple of 3299 and 3304 = 10899896

Step 1: Find the prime factorization of 3299

3299 = 3299

Step 2: Find the prime factorization of 3304

3304 = 2 x 2 x 2 x 7 x 59

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

LCM = 10899896 = 2 x 2 x 2 x 7 x 59 x 3299

Step 4: Therefore, the least common multiple of 3299 and 3304 is 10899896.