Least Common Multiple of 3282 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 3282 and 3288 the smallest integer that is 1798536 that is divisible by both numbers.

Least Common Multiple (LCM) of 3282 and 3288 is 1798536.

LCM(3282,3288) = 1798536

LCM of 3282 and 3288

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

LCM of:
and

Least Common Multiple of 3282 and 3288

LCM of 3282 and 3288 is 1798536

Least common multiple can be found by multiplying the highest exponent prime factors of 3282 and 3288. First we will calculate the prime factors of 3282 and 3288.

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 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 3282 and 3288.

LCM(3282,3288) = 23×31×1371×5471
LCM(3282,3288) = 1798536

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 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 3282 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 3282 and 3288, than apply into the LCM equation.

GCF(3282,3288) = 6
LCM(3282,3288) = ( 3282 × 3288) / 6
LCM(3282,3288) = 10791216 / 6
LCM(3282,3288) = 1798536

Properties of LCM 3282 and 3288

(i) The LCM of 3288 and 3282 is associative

LCM of 3282 and 3288 = LCM of 3288 and 3282

Related Least Common Multiples of 3282

Related Least Common Multiples of 3288

Frequently Asked Questions on LCM of 3282 and 3288

1. What is the LCM of 3282 and 3288?

Answer: LCM of 3282 and 3288 is 1798536.

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 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 3282 and 3288?

Answer:

Least Common Multiple of 3282 and 3288 = 1798536

Step 1: Find the prime factorization of 3282

3282 = 2 x 3 x 547

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 = 1798536 = 2 x 2 x 2 x 3 x 137 x 547

Step 4: Therefore, the least common multiple of 3282 and 3288 is 1798536.