Least Common Multiple of 256 and 259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 256 and 259 the smallest integer that is 66304 that is divisible by both numbers.

Least Common Multiple (LCM) of 256 and 259 is 66304.

LCM(256,259) = 66304

LCM of 256 and 259

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

LCM of:
and

Least Common Multiple of 256 and 259

LCM of 256 and 259 is 66304

Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 259. First we will calculate the prime factors of 256 and 259.

Prime Factorization of 256


2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:

256 = 28

Prime Factorization of 259


7 259
37 37
1

Prime factors of 259 are 7,37. Prime factorization of 259 in exponential form is:

259 = 71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 259.

LCM(256,259) = 28×71×371
LCM(256,259) = 66304

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Least Common Multiple of 256 and 259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 256 and 259, than apply into the LCM equation.

GCF(256,259) = 1
LCM(256,259) = ( 256 × 259) / 1
LCM(256,259) = 66304 / 1
LCM(256,259) = 66304

Properties of LCM 256 and 259

(i) The LCM of 259 and 256 is associative

LCM of 256 and 259 = LCM of 259 and 256

Related Least Common Multiples of 256

Related Least Common Multiples of 259

Frequently Asked Questions on LCM of 256 and 259

1. What is the LCM of 256 and 259?

Answer: LCM of 256 and 259 is 66304.

2. What are the Factors of 256?

Answer: Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. There are 9 integers that are factors of 256. The greatest factor of 256 is 256.

3. What are the Factors of 259?

Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.

4. How to Find the LCM of 256 and 259?

Answer:

Least Common Multiple of 256 and 259 = 66304

Step 1: Find the prime factorization of 256

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 259

259 = 7 x 37

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

LCM = 66304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 37

Step 4: Therefore, the least common multiple of 256 and 259 is 66304.