Least Common Multiple of 3282 and 3285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3282 and 3285 the smallest integer that is 3593790 that is divisible by both numbers.

Least Common Multiple (LCM) of 3282 and 3285 is 3593790.

LCM(3282,3285) = 3593790

LCM of 3282 and 3285

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

LCM of:
and

Least Common Multiple of 3282 and 3285

LCM of 3282 and 3285 is 3593790

Least common multiple can be found by multiplying the highest exponent prime factors of 3282 and 3285. First we will calculate the prime factors of 3282 and 3285.

Prime Factorization of 3282


2 3282
3 1641
547 547
1

Prime factors of 3282 are 2, 3,547. Prime factorization of 3282 in exponential form is:

3282 = 21×31×5471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3282 and 3285.

LCM(3282,3285) = 21×32×51×731×5471
LCM(3282,3285) = 3593790

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1, 2, 3, 6, 547, 1094, 1641, 3282

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

Least Common Multiple of 3282 and 3285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3282 and 3285, than apply into the LCM equation.

GCF(3282,3285) = 3
LCM(3282,3285) = ( 3282 × 3285) / 3
LCM(3282,3285) = 10781370 / 3
LCM(3282,3285) = 3593790

Properties of LCM 3282 and 3285

(i) The LCM of 3285 and 3282 is associative

LCM of 3282 and 3285 = LCM of 3285 and 3282

Related Least Common Multiples of 3282

Related Least Common Multiples of 3285

Frequently Asked Questions on LCM of 3282 and 3285

1. What is the LCM of 3282 and 3285?

Answer: LCM of 3282 and 3285 is 3593790.

2. What are the Factors of 3282?

Answer: Factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282. There are 8 integers that are factors of 3282. The greatest factor of 3282 is 3282.

3. 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.

4. How to Find the LCM of 3282 and 3285?

Answer:

Least Common Multiple of 3282 and 3285 = 3593790

Step 1: Find the prime factorization of 3282

3282 = 2 x 3 x 547

Step 2: Find the prime factorization of 3285

3285 = 3 x 3 x 5 x 73

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

LCM = 3593790 = 2 x 3 x 3 x 5 x 73 x 547

Step 4: Therefore, the least common multiple of 3282 and 3285 is 3593790.