Least Common Multiple of 3297 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 3297 and 3304 the smallest integer that is 1556184 that is divisible by both numbers.

Least Common Multiple (LCM) of 3297 and 3304 is 1556184.

LCM(3297,3304) = 1556184

LCM of 3297 and 3304

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

LCM of:
and

Least Common Multiple of 3297 and 3304

LCM of 3297 and 3304 is 1556184

Least common multiple can be found by multiplying the highest exponent prime factors of 3297 and 3304. First we will calculate the prime factors of 3297 and 3304.

Prime Factorization of 3297


3 3297
7 1099
157 157
1

Prime factors of 3297 are 3, 7,157. Prime factorization of 3297 in exponential form is:

3297 = 31×71×1571

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 3297 and 3304.

LCM(3297,3304) = 23×31×71×591×1571
LCM(3297,3304) = 1556184

Factors of 3297

List of positive integer factors of 3297 that divides 3297 without a remainder.

1, 3, 7, 21, 157, 471, 1099, 3297

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 3297 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 3297 and 3304, than apply into the LCM equation.

GCF(3297,3304) = 7
LCM(3297,3304) = ( 3297 × 3304) / 7
LCM(3297,3304) = 10893288 / 7
LCM(3297,3304) = 1556184

Properties of LCM 3297 and 3304

(i) The LCM of 3304 and 3297 is associative

LCM of 3297 and 3304 = LCM of 3304 and 3297

Related Least Common Multiples of 3297

Related Least Common Multiples of 3304

Frequently Asked Questions on LCM of 3297 and 3304

1. What is the LCM of 3297 and 3304?

Answer: LCM of 3297 and 3304 is 1556184.

2. What are the Factors of 3297?

Answer: Factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297. There are 8 integers that are factors of 3297. The greatest factor of 3297 is 3297.

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 3297 and 3304?

Answer:

Least Common Multiple of 3297 and 3304 = 1556184

Step 1: Find the prime factorization of 3297

3297 = 3 x 7 x 157

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 = 1556184 = 2 x 2 x 2 x 3 x 7 x 59 x 157

Step 4: Therefore, the least common multiple of 3297 and 3304 is 1556184.