Least Common Multiple of 3285 and 3288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3285 and 3288 the smallest integer that is 3600360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3285 and 3288 is 3600360.

LCM(3285,3288) = 3600360

LCM of 3285 and 3288

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

LCM of:
and

Least Common Multiple of 3285 and 3288

LCM of 3285 and 3288 is 3600360

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3288. First we will calculate the prime factors of 3285 and 3288.

Prime Factorization of 3285


3 3285
3 1095
5 365
73 73
1

Prime factors of 3285 are 3, 5,73. Prime factorization of 3285 in exponential form is:

3285 = 32×51×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3288.

LCM(3285,3288) = 23×32×51×731×1371
LCM(3285,3288) = 3600360

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285

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

Least Common Multiple of 3285 and 3288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3288, than apply into the LCM equation.

GCF(3285,3288) = 3
LCM(3285,3288) = ( 3285 × 3288) / 3
LCM(3285,3288) = 10801080 / 3
LCM(3285,3288) = 3600360

Properties of LCM 3285 and 3288

(i) The LCM of 3288 and 3285 is associative

LCM of 3285 and 3288 = LCM of 3288 and 3285

Related Least Common Multiples of 3285

Related Least Common Multiples of 3288

Frequently Asked Questions on LCM of 3285 and 3288

1. What is the LCM of 3285 and 3288?

Answer: LCM of 3285 and 3288 is 3600360.

2. What are the Factors of 3285?

Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.

3. 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.

4. How to Find the LCM of 3285 and 3288?

Answer:

Least Common Multiple of 3285 and 3288 = 3600360

Step 1: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

Step 2: Find the prime factorization of 3288

3288 = 2 x 2 x 2 x 3 x 137

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

LCM = 3600360 = 2 x 2 x 2 x 3 x 3 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 3285 and 3288 is 3600360.