Least Common Multiple of 251 and 256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 251 and 256 the smallest integer that is 64256 that is divisible by both numbers.

Least Common Multiple (LCM) of 251 and 256 is 64256.

LCM(251,256) = 64256

LCM of 251 and 256

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

LCM of:
and

Least Common Multiple of 251 and 256

LCM of 251 and 256 is 64256

Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 256. First we will calculate the prime factors of 251 and 256.

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 251 and 256.

LCM(251,256) = 28×2511
LCM(251,256) = 64256

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

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

Least Common Multiple of 251 and 256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 256, than apply into the LCM equation.

GCF(251,256) = 1
LCM(251,256) = ( 251 × 256) / 1
LCM(251,256) = 64256 / 1
LCM(251,256) = 64256

Properties of LCM 251 and 256

(i) The LCM of 256 and 251 is associative

LCM of 251 and 256 = LCM of 256 and 251

Related Least Common Multiples of 251

Related Least Common Multiples of 256

Frequently Asked Questions on LCM of 251 and 256

1. What is the LCM of 251 and 256?

Answer: LCM of 251 and 256 is 64256.

2. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

3. 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.

4. How to Find the LCM of 251 and 256?

Answer:

Least Common Multiple of 251 and 256 = 64256

Step 1: Find the prime factorization of 251

251 = 251

Step 2: Find the prime factorization of 256

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

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

LCM = 64256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 251

Step 4: Therefore, the least common multiple of 251 and 256 is 64256.