Least Common Multiple of 256 and 260

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 260 the smallest integer that is 16640 that is divisible by both numbers.

Least Common Multiple (LCM) of 256 and 260 is 16640.

LCM(256,260) = 16640

LCM of 256 and 260

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

LCM of:
and

Least Common Multiple of 256 and 260

LCM of 256 and 260 is 16640

Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 260. First we will calculate the prime factors of 256 and 260.

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 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2, 5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 260.

LCM(256,260) = 28×51×131
LCM(256,260) = 16640

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 260

List of positive integer factors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Least Common Multiple of 256 and 260 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 260, than apply into the LCM equation.

GCF(256,260) = 4
LCM(256,260) = ( 256 × 260) / 4
LCM(256,260) = 66560 / 4
LCM(256,260) = 16640

Properties of LCM 256 and 260

(i) The LCM of 260 and 256 is associative

LCM of 256 and 260 = LCM of 260 and 256

Related Least Common Multiples of 256

Related Least Common Multiples of 260

Frequently Asked Questions on LCM of 256 and 260

1. What is the LCM of 256 and 260?

Answer: LCM of 256 and 260 is 16640.

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 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

4. How to Find the LCM of 256 and 260?

Answer:

Least Common Multiple of 256 and 260 = 16640

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 260

260 = 2 x 2 x 5 x 13

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

LCM = 16640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 4: Therefore, the least common multiple of 256 and 260 is 16640.