Least Common Multiple of 3256 and 3264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3256 and 3264 the smallest integer that is 1328448 that is divisible by both numbers.

Least Common Multiple (LCM) of 3256 and 3264 is 1328448.

LCM(3256,3264) = 1328448

LCM of 3256 and 3264

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

LCM of:
and

Least Common Multiple of 3256 and 3264

LCM of 3256 and 3264 is 1328448

Least common multiple can be found by multiplying the highest exponent prime factors of 3256 and 3264. First we will calculate the prime factors of 3256 and 3264.

Prime Factorization of 3256


2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 3256 are 2, 11,37. Prime factorization of 3256 in exponential form is:

3256 = 23×111×371

Prime Factorization of 3264


2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 3264 are 2, 3,17. Prime factorization of 3264 in exponential form is:

3264 = 26×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3256 and 3264.

LCM(3256,3264) = 26×31×111×171×371
LCM(3256,3264) = 1328448

Factors of 3256

List of positive integer factors of 3256 that divides 3256 without a remainder.

1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264

Least Common Multiple of 3256 and 3264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3256 and 3264, than apply into the LCM equation.

GCF(3256,3264) = 8
LCM(3256,3264) = ( 3256 × 3264) / 8
LCM(3256,3264) = 10627584 / 8
LCM(3256,3264) = 1328448

Properties of LCM 3256 and 3264

(i) The LCM of 3264 and 3256 is associative

LCM of 3256 and 3264 = LCM of 3264 and 3256

Related Least Common Multiples of 3256

Related Least Common Multiples of 3264

Frequently Asked Questions on LCM of 3256 and 3264

1. What is the LCM of 3256 and 3264?

Answer: LCM of 3256 and 3264 is 1328448.

2. What are the Factors of 3256?

Answer: Factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256. There are 16 integers that are factors of 3256. The greatest factor of 3256 is 3256.

3. What are the Factors of 3264?

Answer: Factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. There are 28 integers that are factors of 3264. The greatest factor of 3264 is 3264.

4. How to Find the LCM of 3256 and 3264?

Answer:

Least Common Multiple of 3256 and 3264 = 1328448

Step 1: Find the prime factorization of 3256

3256 = 2 x 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 3264

3264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

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

LCM = 1328448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 3256 and 3264 is 1328448.