Least Common Multiple of 3288 and 3294

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 3294 the smallest integer that is 1805112 that is divisible by both numbers.

Least Common Multiple (LCM) of 3288 and 3294 is 1805112.

LCM(3288,3294) = 1805112

LCM of 3288 and 3294

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

LCM of:
and

Least Common Multiple of 3288 and 3294

LCM of 3288 and 3294 is 1805112

Least common multiple can be found by multiplying the highest exponent prime factors of 3288 and 3294. First we will calculate the prime factors of 3288 and 3294.

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 3294


2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 3294 are 2, 3,61. Prime factorization of 3294 in exponential form is:

3294 = 21×33×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3288 and 3294.

LCM(3288,3294) = 23×33×611×1371
LCM(3288,3294) = 1805112

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 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294

Least Common Multiple of 3288 and 3294 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 3294, than apply into the LCM equation.

GCF(3288,3294) = 6
LCM(3288,3294) = ( 3288 × 3294) / 6
LCM(3288,3294) = 10830672 / 6
LCM(3288,3294) = 1805112

Properties of LCM 3288 and 3294

(i) The LCM of 3294 and 3288 is associative

LCM of 3288 and 3294 = LCM of 3294 and 3288

Related Least Common Multiples of 3288

Related Least Common Multiples of 3294

Frequently Asked Questions on LCM of 3288 and 3294

1. What is the LCM of 3288 and 3294?

Answer: LCM of 3288 and 3294 is 1805112.

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 3294?

Answer: Factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294. There are 16 integers that are factors of 3294. The greatest factor of 3294 is 3294.

4. How to Find the LCM of 3288 and 3294?

Answer:

Least Common Multiple of 3288 and 3294 = 1805112

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 3294

3294 = 2 x 3 x 3 x 3 x 61

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

LCM = 1805112 = 2 x 2 x 2 x 3 x 3 x 3 x 61 x 137

Step 4: Therefore, the least common multiple of 3288 and 3294 is 1805112.