Least Common Multiple of 3288 and 3296

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 3296 the smallest integer that is 1354656 that is divisible by both numbers.

Least Common Multiple (LCM) of 3288 and 3296 is 1354656.

LCM(3288,3296) = 1354656

LCM of 3288 and 3296

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

LCM of:
and

Least Common Multiple of 3288 and 3296

LCM of 3288 and 3296 is 1354656

Least common multiple can be found by multiplying the highest exponent prime factors of 3288 and 3296. First we will calculate the prime factors of 3288 and 3296.

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 3296


2 3296
2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 3296 are 2,103. Prime factorization of 3296 in exponential form is:

3296 = 25×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3288 and 3296.

LCM(3288,3296) = 25×31×1031×1371
LCM(3288,3296) = 1354656

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 3296

List of positive integer factors of 3296 that divides 3296 without a remainder.

1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296

Least Common Multiple of 3288 and 3296 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 3296, than apply into the LCM equation.

GCF(3288,3296) = 8
LCM(3288,3296) = ( 3288 × 3296) / 8
LCM(3288,3296) = 10837248 / 8
LCM(3288,3296) = 1354656

Properties of LCM 3288 and 3296

(i) The LCM of 3296 and 3288 is associative

LCM of 3288 and 3296 = LCM of 3296 and 3288

Related Least Common Multiples of 3288

Related Least Common Multiples of 3296

Frequently Asked Questions on LCM of 3288 and 3296

1. What is the LCM of 3288 and 3296?

Answer: LCM of 3288 and 3296 is 1354656.

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 3296?

Answer: Factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. There are 12 integers that are factors of 3296. The greatest factor of 3296 is 3296.

4. How to Find the LCM of 3288 and 3296?

Answer:

Least Common Multiple of 3288 and 3296 = 1354656

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 3296

3296 = 2 x 2 x 2 x 2 x 2 x 103

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

LCM = 1354656 = 2 x 2 x 2 x 2 x 2 x 3 x 103 x 137

Step 4: Therefore, the least common multiple of 3288 and 3296 is 1354656.