Least Common Multiple of 3288 and 3295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3288 and 3295 the smallest integer that is 10833960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3288 and 3295 is 10833960.

LCM(3288,3295) = 10833960

LCM of 3288 and 3295

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

LCM of:
and

Least Common Multiple of 3288 and 3295

LCM of 3288 and 3295 is 10833960

Least common multiple can be found by multiplying the highest exponent prime factors of 3288 and 3295. First we will calculate the prime factors of 3288 and 3295.

Prime Factorization of 3288


2 3288
2 1644
2 822
3 411
137 137
1

Prime factors of 3288 are 2, 3,137. Prime factorization of 3288 in exponential form is:

3288 = 23×31×1371

Prime Factorization of 3295


5 3295
659 659
1

Prime factors of 3295 are 5,659. Prime factorization of 3295 in exponential form is:

3295 = 51×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 3288 and 3295.

LCM(3288,3295) = 23×31×51×1371×6591
LCM(3288,3295) = 10833960

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288

Factors of 3295

List of positive integer factors of 3295 that divides 3295 without a remainder.

1, 5, 659, 3295

Least Common Multiple of 3288 and 3295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3288 and 3295, than apply into the LCM equation.

GCF(3288,3295) = 1
LCM(3288,3295) = ( 3288 × 3295) / 1
LCM(3288,3295) = 10833960 / 1
LCM(3288,3295) = 10833960

Properties of LCM 3288 and 3295

(i) The LCM of 3295 and 3288 is associative

LCM of 3288 and 3295 = LCM of 3295 and 3288

Related Least Common Multiples of 3288

Related Least Common Multiples of 3295

Frequently Asked Questions on LCM of 3288 and 3295

1. What is the LCM of 3288 and 3295?

Answer: LCM of 3288 and 3295 is 10833960.

2. What are the Factors of 3288?

Answer: Factors of 3288 are 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288. There are 16 integers that are factors of 3288. The greatest factor of 3288 is 3288.

3. What are the Factors of 3295?

Answer: Factors of 3295 are 1, 5, 659, 3295. There are 4 integers that are factors of 3295. The greatest factor of 3295 is 3295.

4. How to Find the LCM of 3288 and 3295?

Answer:

Least Common Multiple of 3288 and 3295 = 10833960

Step 1: Find the prime factorization of 3288

3288 = 2 x 2 x 2 x 3 x 137

Step 2: Find the prime factorization of 3295

3295 = 5 x 659

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

LCM = 10833960 = 2 x 2 x 2 x 3 x 5 x 137 x 659

Step 4: Therefore, the least common multiple of 3288 and 3295 is 10833960.