Least Common Multiple of 256 and 261

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 261 the smallest integer that is 66816 that is divisible by both numbers.

Least Common Multiple (LCM) of 256 and 261 is 66816.

LCM(256,261) = 66816

LCM of 256 and 261

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

LCM of:
and

Least Common Multiple of 256 and 261

LCM of 256 and 261 is 66816

Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 261. First we will calculate the prime factors of 256 and 261.

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 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 261.

LCM(256,261) = 28×32×291
LCM(256,261) = 66816

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 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Least Common Multiple of 256 and 261 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 261, than apply into the LCM equation.

GCF(256,261) = 1
LCM(256,261) = ( 256 × 261) / 1
LCM(256,261) = 66816 / 1
LCM(256,261) = 66816

Properties of LCM 256 and 261

(i) The LCM of 261 and 256 is associative

LCM of 256 and 261 = LCM of 261 and 256

Related Least Common Multiples of 256

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 256 and 261

1. What is the LCM of 256 and 261?

Answer: LCM of 256 and 261 is 66816.

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 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the LCM of 256 and 261?

Answer:

Least Common Multiple of 256 and 261 = 66816

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 261

261 = 3 x 3 x 29

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

LCM = 66816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29

Step 4: Therefore, the least common multiple of 256 and 261 is 66816.