Least Common Multiple of 3297 and 3300

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 3300 the smallest integer that is 3626700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3297 and 3300 is 3626700.

LCM(3297,3300) = 3626700

LCM of 3297 and 3300

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

LCM of:
and

Least Common Multiple of 3297 and 3300

LCM of 3297 and 3300 is 3626700

Least common multiple can be found by multiplying the highest exponent prime factors of 3297 and 3300. First we will calculate the prime factors of 3297 and 3300.

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 3300


2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 3300 are 2, 3, 5,11. Prime factorization of 3300 in exponential form is:

3300 = 22×31×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3297 and 3300.

LCM(3297,3300) = 22×31×52×71×111×1571
LCM(3297,3300) = 3626700

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 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300

Least Common Multiple of 3297 and 3300 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 3300, than apply into the LCM equation.

GCF(3297,3300) = 3
LCM(3297,3300) = ( 3297 × 3300) / 3
LCM(3297,3300) = 10880100 / 3
LCM(3297,3300) = 3626700

Properties of LCM 3297 and 3300

(i) The LCM of 3300 and 3297 is associative

LCM of 3297 and 3300 = LCM of 3300 and 3297

Related Least Common Multiples of 3297

Related Least Common Multiples of 3300

Frequently Asked Questions on LCM of 3297 and 3300

1. What is the LCM of 3297 and 3300?

Answer: LCM of 3297 and 3300 is 3626700.

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 3300?

Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.

4. How to Find the LCM of 3297 and 3300?

Answer:

Least Common Multiple of 3297 and 3300 = 3626700

Step 1: Find the prime factorization of 3297

3297 = 3 x 7 x 157

Step 2: Find the prime factorization of 3300

3300 = 2 x 2 x 3 x 5 x 5 x 11

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

LCM = 3626700 = 2 x 2 x 3 x 5 x 5 x 7 x 11 x 157

Step 4: Therefore, the least common multiple of 3297 and 3300 is 3626700.