Least Common Multiple of 255 and 257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 255 and 257 the smallest integer that is 65535 that is divisible by both numbers.

Least Common Multiple (LCM) of 255 and 257 is 65535.

LCM(255,257) = 65535

LCM of 255 and 257

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

LCM of:
and

Least Common Multiple of 255 and 257

LCM of 255 and 257 is 65535

Least common multiple can be found by multiplying the highest exponent prime factors of 255 and 257. First we will calculate the prime factors of 255 and 257.

Prime Factorization of 255


3 255
5 85
17 17
1

Prime factors of 255 are 3, 5,17. Prime factorization of 255 in exponential form is:

255 = 31×51×171

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 255 and 257.

LCM(255,257) = 31×51×171×2571
LCM(255,257) = 65535

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

Least Common Multiple of 255 and 257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 255 and 257, than apply into the LCM equation.

GCF(255,257) = 1
LCM(255,257) = ( 255 × 257) / 1
LCM(255,257) = 65535 / 1
LCM(255,257) = 65535

Properties of LCM 255 and 257

(i) The LCM of 257 and 255 is associative

LCM of 255 and 257 = LCM of 257 and 255

Related Least Common Multiples of 255

Related Least Common Multiples of 257

Frequently Asked Questions on LCM of 255 and 257

1. What is the LCM of 255 and 257?

Answer: LCM of 255 and 257 is 65535.

2. What are the Factors of 255?

Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.

3. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

4. How to Find the LCM of 255 and 257?

Answer:

Least Common Multiple of 255 and 257 = 65535

Step 1: Find the prime factorization of 255

255 = 3 x 5 x 17

Step 2: Find the prime factorization of 257

257 = 257

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

LCM = 65535 = 3 x 5 x 17 x 257

Step 4: Therefore, the least common multiple of 255 and 257 is 65535.