Least Common Multiple of 3297 and 3302

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 3302 the smallest integer that is 10886694 that is divisible by both numbers.

Least Common Multiple (LCM) of 3297 and 3302 is 10886694.

LCM(3297,3302) = 10886694

LCM of 3297 and 3302

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

LCM of:
and

Least Common Multiple of 3297 and 3302

LCM of 3297 and 3302 is 10886694

Least common multiple can be found by multiplying the highest exponent prime factors of 3297 and 3302. First we will calculate the prime factors of 3297 and 3302.

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 3302


2 3302
13 1651
127 127
1

Prime factors of 3302 are 2, 13,127. Prime factorization of 3302 in exponential form is:

3302 = 21×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3297 and 3302.

LCM(3297,3302) = 21×31×71×131×1271×1571
LCM(3297,3302) = 10886694

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 3302

List of positive integer factors of 3302 that divides 3302 without a remainder.

1, 2, 13, 26, 127, 254, 1651, 3302

Least Common Multiple of 3297 and 3302 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 3302, than apply into the LCM equation.

GCF(3297,3302) = 1
LCM(3297,3302) = ( 3297 × 3302) / 1
LCM(3297,3302) = 10886694 / 1
LCM(3297,3302) = 10886694

Properties of LCM 3297 and 3302

(i) The LCM of 3302 and 3297 is associative

LCM of 3297 and 3302 = LCM of 3302 and 3297

Related Least Common Multiples of 3297

Related Least Common Multiples of 3302

Frequently Asked Questions on LCM of 3297 and 3302

1. What is the LCM of 3297 and 3302?

Answer: LCM of 3297 and 3302 is 10886694.

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 3302?

Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.

4. How to Find the LCM of 3297 and 3302?

Answer:

Least Common Multiple of 3297 and 3302 = 10886694

Step 1: Find the prime factorization of 3297

3297 = 3 x 7 x 157

Step 2: Find the prime factorization of 3302

3302 = 2 x 13 x 127

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

LCM = 10886694 = 2 x 3 x 7 x 13 x 127 x 157

Step 4: Therefore, the least common multiple of 3297 and 3302 is 10886694.