Least Common Multiple of 256 and 263

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 263 the smallest integer that is 67328 that is divisible by both numbers.

Least Common Multiple (LCM) of 256 and 263 is 67328.

LCM(256,263) = 67328

LCM of 256 and 263

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

LCM of:
and

Least Common Multiple of 256 and 263

LCM of 256 and 263 is 67328

Least common multiple can be found by multiplying the highest exponent prime factors of 256 and 263. First we will calculate the prime factors of 256 and 263.

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 263


263 263
1

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 256 and 263.

LCM(256,263) = 28×2631
LCM(256,263) = 67328

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 263

List of positive integer factors of 263 that divides 263 without a remainder.

1, 263

Least Common Multiple of 256 and 263 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 263, than apply into the LCM equation.

GCF(256,263) = 1
LCM(256,263) = ( 256 × 263) / 1
LCM(256,263) = 67328 / 1
LCM(256,263) = 67328

Properties of LCM 256 and 263

(i) The LCM of 263 and 256 is associative

LCM of 256 and 263 = LCM of 263 and 256

Related Least Common Multiples of 256

Related Least Common Multiples of 263

Frequently Asked Questions on LCM of 256 and 263

1. What is the LCM of 256 and 263?

Answer: LCM of 256 and 263 is 67328.

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 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

4. How to Find the LCM of 256 and 263?

Answer:

Least Common Multiple of 256 and 263 = 67328

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 263

263 = 263

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

LCM = 67328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 263

Step 4: Therefore, the least common multiple of 256 and 263 is 67328.